<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE file SYSTEM "bibxmlext.dtd">

<file>
<entry id="Romero"><book>
  <author>
    <name><first>A.</first><last>Romero</last></name>
    <name><first>J.</first><last>Heras</last></name>
    <name><first>G.</first><last>Mata</last></name>
    <name><first>J.</first><last>Rubio</last></name>
            <name><first>F.</first><last>Sergereart</last></name>
</author>
  <title>  Spectral sequences for computing persistent
homology of digital images
</title>
  <publisher>Proceedings ACA 2013
</publisher>
  <year>2013</year>
</book></entry></file>
<file>
<entry id="Gangl"><book>
  <author>
    <name><first>M.</first><last>Dutour Sikiric</last></name>
    <name><first>H.</first><last>Gangl</last></name>
    <name><first>P.</first><last>Gunnells</last></name>
    <name><first>J.</first><last>Hanke</last></name>
	    <name><first>A.</first><last>Schuermann</last></name>
		    <name><first>D.</first><last>Yasaki</last></name>
</author>
  <title>  On the cohomology of linear groups over imaginary quadratic fields.
</title>
  <publisher>J. Pure and Applied Algebra, volume 220, issue 7 
</publisher>
  <year>2016</year>
</book></entry></file>

<file>
<entry id="Schwermer"><book>
  <author>
    <name><first>J.</first><last>Schwermer</last></name>
    <name><first>K.</first><last>Vogtmann</last></name>
</author>
  <title>  The Integral Homology of SL2 and PSL2 of Euclidean
Imaginary Quadratic Integer
</title>
  <publisher>Comment. Math. Helvetica 58
</publisher>
  <year>1983</year>
</book></entry></file>

	<file>
<entry id="Vogtmann"><book>
        <author>
    <name><first>K.</first><last>Vogtmann</last></name>
</author>
  <title>  
Cohomology of Bianchi Groups, Math. 
</title>
  <publisher>Math. Ann. 272 
</publisher>
  <year>1985</year>
</book></entry></file>

	<file>
<entry id="Berkove00"><book>
        <author>
    <name><first>E.</first><last>Berkove</last></name>
</author>
  <title>
 On the Mod-2 Cohomology of the Bianchi Groups
</title>
  <publisher>Trans. of the AMS., 352, no.
10
</publisher>
  <year>2000</year>
</book></entry></file>

	<file>
<entry id="Berkove06"><book>
        <author>
    <name><first>E.</first><last>Berkove</last></name>
</author>
  <title>
 The integral Cohomology of the Bianchi Groups
</title>
  <publisher>Trans. of the AMS., 358, no.
3
</publisher>
  <year>2006</year>
</book></entry></file>

	 <file>
<entry id="Rahm13"><book>
        <author>
    <name><first>A.</first><last>Rahm</last></name>
</author>

  <title>
	  The homological torsion of PSL2 of the imaginary quadratic integers
  </title>
  <publisher>Trans. Amer. Math. Soc. 365 
</publisher>
  <year>2013</year>
</book></entry></file>

	<file>
<entry id="Rahm11"><book>
        <author>
    <name><first>A.</first><last>Rahm</last></name>
    <name><first>M.</first><last>Fuchs</last></name>
</author>

  <title>
 The integral homology of
PSL2 of imaginary quadratic integers with nontrivial class group</title>
  <publisher>J. Pure Appl. Algebra 215
</publisher>
  <year>2013</year>
</book></entry></file>

	  <file>
<entry id="Rahm13a"><book>
        <author>
    <name><first>A.</first><last>Rahm</last></name>
</author>

  <title>
		  Higher torsion in the Abelianization of the full Bianchi groups
  </title>
  <publisher>LMS J. Comput. Math. 16
</publisher>
  <year>2013</year>
</book></entry></file>

	<file>
<entry id="Rahm20"><book>
        <author>
    <name><first>E.</first><last>Berkove</last></name>
    <name><first>G.</first><last>Lakeland</last></name>
    <name><first>A.</first><last>Rahm</last></name>
</author>

  <title>
The mod2 cohomology rings of congruence subgroups in the Bianchi groups
  </title>
  <publisher>J. Algebraic Combin. 52
</publisher>
  <year>2020</year>
</book></entry></file>



<file>
<entry id="Symmonds"><book>
  <author>
    <name><first>P.</first><last>Symmonds</last></name>
</author>
  <title> ON THE CASTELNUOVO-MUMFORD REGULARITY OF THE COHOMOLOGY RING OF A GROUP 
</title>
  <publisher>Journal of the Americal Mathematical Society, Volume 23
</publisher>
  <year>2010</year>
</book></entry></file>

<file>
<entry id="Wustner"><book>
  <author>
    <name><first>M.</first><last>Wuestner</last></name>
</author>
  <title> An example of a nonsolvable Lie algebra
</title>
  <publisher>Seminar Sophus Lie 2, 57-58
</publisher>
  <year>1992</year>
</book></entry></file>

<file>
<entry id="igusa"><book>
  <author>
    <name><first>Kiyoshi</first><last>Igusa</last></name>
    <name><first>Kent E.</first><last>Orr</last></name>
</author>
  <title> Links, pictures and the homology of nilpotent groups
</title>
  <publisher>Topology, Volume 40, Issue 6, pp-1125--1166
</publisher>
  <year>2001</year>
</book></entry></file>

<file>
<entry id="kuzmin"><book>
  <author>
    <name><first>Yu. V.</first><last>Kuz'min</last></name>
    <name><first>Yu. S.</first><last>Semenov</last></name>
</author>
  <title> On the homology of a free nilpotent group of class 2
</title>
  <publisher>Mat. Sb. 189, no. 4, pp 49--82
</publisher>
  <year>1998</year>
</book></entry></file>

<file>
<entry id="thurston"><book>
  <author>
    <name><first>William</first><last>Thurston</last></name>
</author>
  <title> The Geometry and Topology of Three-Manifolds 
</title>
  <publisher>http://www.msri.org/publications/books/gt3m/
</publisher>
  <year>2002</year>
</book></entry></file>

<file>
<entry id="goncalves"><book>
  <author>
    <name><first>Daciberg</first><last>Goncalves</last></name> 
<name><first>Sergio</first><last>Martins</last></name>
</author>
  <title> Diagonal approximation and the cohomology ring of the
              fundamental groups of surfaces
</title>
  <publisher>European Journal of Mathematics, 1, pp122--137 
</publisher>
  <year>2015</year>
</book></entry></file>

	<file>
<entry id="coeurjolly"><book>
  <author>
    <name><first>David</first><last>Coeurjolly</last></name>
<name><first>Bertrand</first><last>Kerautret</last></name>
	<name><first>Jacques-Olivier</first><last>Lachaud</last></name>
</author>
  <title> 
Extraction of Connected Region Boundary in
Multidimensional Images
</title>
  <publisher>Image Processing On Line
</publisher>
  <year>2014</year>
</book></entry></file>

<file>
<entry id="MartinFTM01"><book>
  <author>
<name><first>D.</first><last>Martin</last></name>
<name><first>C.</first><last>Fowlkes</last></name>
<name><first>D.</first><last>Tal</last></name>
<name><first>J.</first><last>Malik</last></name>
</author>
<title>
	  A Database of Human Segmented Natural Images and its
           Application to Evaluating Segmentation Algorithms and
           Measuring Ecological Statistics
</title>
<publisher>Proc. 8th Int'l Conf. Computer Vision, 2, pp 416--423
</publisher>
<year>2001</year>
</book></entry></file>

<file>
<entry id="johnson"><book>
  <author>
    <name><first>Francis</first><last>Johnson</last></name> </author>
  <title>Syzygies and dihedral resolutions for dihedral groups
</title>
  <publisher>Communication in Algebra 44(5), pp 2034-2047
</publisher>
  <year>2016</year>
</book></entry></file>

<file>
<entry id="kholodna"><book>
  <author>
    <name><first>Irina</first><last>Kholodna</last></name> </author>
  <title>Low-dimensional homotopical syzygies
</title>
  <publisher>PhD Thesis, National University of Ireland Galway
</publisher>
  <year>2001</year>
</book></entry></file>

<file>
<entry id="swan2"><book>
  <author>
    <name><first>RG</first><last>Swan</last></name> </author>
  <title>Periodic resolutions for finite groups
</title>
  <publisher>Annals of Mathematics 72, pages 267-291
</publisher>
  <year>1960</year>
</book></entry></file>

<file>
<entry id="swanB"><book>
  <author>
    <name><first>RG</first><last>Swan</last></name> </author>
  <title>Generators and relations for certain Special Linear Groups
</title>
  <publisher>Advances in Mathematics 6, 1--77 
</publisher>
  <year>1971</year>
</book></entry></file>


<file>
<entry id="greene"><book>
  <author>
    <name><first>Joshua</first><last>Greene</last></name> </author>
  <title>The lens space realization problem
</title>
  <publisher>Annals of Mathematics 177, pages 449-511
</publisher>
  <year>2013</year>
</book></entry></file>

<file>
<entry id="lmoser"><book>
  <author>
    <name><first>Louise</first><last>Moser</last></name>
  </author>
  <title>Elementary surgery along a torus knot
</title>
  <publisher>Pacific Journal of Mathematics, Vol. 38, No. 3 
</publisher>
  <year>1971</year>
</book></entry></file>

<file>
<entry id="horadam"><book>
  <author>
    <name><first>K.J.</first><last>Horadam</last></name>
  </author>
  <title>An introduction to cocyclic generalised Hadamard matrices
</title>
  <publisher> Discrete Applied Math, 102,  115-130
</publisher>
  <year>2000</year>
</book></entry></file>

<file>
<entry id="dpr"><book>
  <author>
    <name><first>R.</first><last>Dijkgraaf</last></name>
<name><first>V.</first><last>Pasquier</last></name>
<name><first>P.</first><last>Roche</last></name>
  </author>
  <title>Quasi-Hopf algebras, group cohomology  and orbifold models
</title>
  <publisher> Nuclear Phys. B Proc. Suppl. 18B,  60-72
</publisher>
  <year>1991</year>
</book></entry></file>

<file>
<entry id="brody"><book>
  <author>
    <name><first>E.</first><last>Brody</last></name>
  </author>
  <title>The topological classification of the lens spaces
</title>
  <publisher> Ann. of Math. 71, 163–184
</publisher>
  <year>1960</year>
</book></entry></file>

<file>
<entry id="reidemeister"><book>
  <author>
    <name><first>Kurt</first><last>Reidemeister</last></name>
  </author>
  <title>Homotopieringe und Linsenraume
</title>
  <publisher> Abh. Math. Sem. Univ. Hamburg 11
, 102–109</publisher>
  <year>1935</year>
</book></entry></file>

<file>
<entry id="moise"><book>
  <author>
    <name><first>E.</first><last>Moise</last></name>
  </author>
  <title>Affine structures in 3-manifolds V. The triangulation theorem and Hauptvermu-
tung</title>
  <publisher> Annals of Math. 56, 96--114</publisher>
  <year>1952</year>
</book></entry></file>


<file>
<entry id="przytycki"><book>
  <author>
    <name><first>Jozef</first><last>Przytycki</last></name>
    <name><first>Akira</first><last>Yasukhara</last></name>
  </author>
  <title>Symmetry of links and classification of lens spaces</title>
  <publisher> Geom. Dedicata 98, 57--61</publisher>
  <year>2003</year>
</book></entry></file>



<file>
<entry id="tomoda"><book>
  <author>
    <name><first>Satoshi</first><last>Tomoda</last></name>
    <name><first>Peter</first><last>Zvengrowski</last></name>
  </author>
  <title>Remarks on the cohomology of finite fundamental groups of 3-manifolds</title>
  <publisher> Geometry and Topology Monographs 14, 519-556</publisher>
  <year>2008</year>
</book></entry></file>

<file>
<entry id="spreerkhuenel"><book>
  <author>
    <name><first>Jonathan</first><last>Spreer</last></name>
    <name><first>Wolfgang</first><last>Khuenel</last></name>
  </author>
  <title>Combinatorial properties of the K3 surface: Simplicial blowups and slicings</title>
  <publisher> Experimental Mathematics Volume 20 Issue 2</publisher>
  <year>2011</year>
</book></entry></file>


<file>
<entry id="milnor"><book>
  <author>
    <name><first>John</first><last>Milnor</last></name>
  </author>
  <title>On simply connected 4-manifolds</title>
  <publisher> International symposium on algebraic topology, Universidad Nacional Autonoma de Mexico and UNESCO, Mexico City</publisher>
  <year>1958</year>
</book></entry></file>


<file>
<entry id="hatcher"><book>
  <author>
    <name><first>Allen</first><last>Hatcher</last></name>
  </author>
  <title>Algebraic Topology </title>
  <publisher>Available online </publisher>
  <year>2001</year>
  <url>http://pi.math.cornell.edu/~hatcher/AT/ATplain.pdf </url>
</book></entry></file>




<file>
<entry id="ksontini"><book>
  <author>
    <name><first>R.</first><last>Ksontini</last></name>
  </author>
  <title>Proprietes homotopiques du complexe de Quillen du groupe
              symetrique</title>
  <publisher>These de doctorat, Universitet de Lausanne </publisher>
  <year>2000</year>
  <url>http://sma.epfl.ch/~thevenaz/theses/Ksontini_thesis.pdf</url>
</book></entry>
</file>

<file>
<entry id="bergeron"><book>
  <author>
    <name><first>N.</first><last>Bergeron</last></name>
  </author>
  <title>Torsion homology growth in arithmetic groups </title>
  <publisher>EuropeanMathematical Society, European Congress of Mathematicians, July 18-22 </publisher>
  <year>2016</year>
  <url>https://www.ems-ph.org/books/book.php?proj_nr=220</url>
</book></entry>
</file>


<file>
<entry id="rahmthesis"><book>
  <author>
    <name><first>A.</first><last>Rahm</last></name>
  </author>
  <title>Cohomologies and <M>K</M>-theory of Bianchi groups using computational geometric models </title>
  <publisher>These de doctorat, Universite Joseph-Fourier -- Grenoble I </publisher>
  <year>2010</year>
  <url>https://tel.archives-ouvertes.fr/tel-00526976v6</url>
</book></entry>
</file>


<file>
<entry id="stein"><book>
  <author>
    <name><first>W.</first><last>Stein</last></name>
  </author>
  <title>Modular forms, a computational approach </title>
  <publisher>AMS Graduate Studies in Mathematics </publisher>
  <year>2007</year>
<volume>79</volume>
  <url>https://wstein.org/books/modform/modform/</url>
</book></entry>
</file>

<file>
<entry id="wieser"><book>
  <author>
    <name><first>G.</first><last>Wieser</last></name>
  </author>
  <title>Computational arithmetic of modular forms </title>
  <publisher>Universitat Duisburg-Essen </publisher>
  <year>2007/8</year>
  <url>http://math.uni.lu/~wiese/notes/MFII.pdf</url>
</book></entry>
</file>


<file>
<entry id="eichler"><article>
  <author>
    <name><first>M.</first><last>Eichler</last></name>
  </author>
  <title>Eine Verallgemeinerung der Abelschen Integrale </title>
  <journal>Mathematische Zeitschrift </journal>
  <year>1957</year>
  <volume>67</volume>
<pages>267--298</pages>
<issn>0025-5874</issn>
<mrnumber>0089928</mrnumber>
</article></entry>
</file>

<file>
<entry id="sengun"><article>
  <author>
    <name><first>M. H.</first><last>Sengun</last></name>
  </author>
  <title>On the Integral Cohomology of Bianchi Groups </title>
  <journal>Experimental Mathematics </journal>
  <year>2011</year>
  <volume>20(4)</volume>
<pages>487--505</pages>
<issn>1058-6458 print</issn>
</article></entry>
</file>


<file>
<entry id="schoennenbeck"><article>
  <author>
    <name><first>O.</first><last>Braun</last></name>
<name><first>R.</first><last>Coulangeon</last></name>
<name><first>G.</first><last>Nebe</last></name>
<name><first>S.</first><last>Schoennenbeck</last></name>
  </author>
  <title>Computing in arithmetic groups with
Voronoï’s algorithm</title>
  <journal>J. Algebra </journal>
  <year>2015</year>
  <volume>435</volume>
<pages>263--285</pages>
</article></entry>
</file>


<file>
<entry id="swan"><article>
  <author>
    <name><first>R.</first><last>Swan</last></name>
  </author>
  <title>Generators and relations for certain general linear groups </title>
  <journal>Advances in Mathematics </journal>
  <year>1971</year>
  <volume>6</volume>
<pages>1--77</pages>
<mrnumber>0284516</mrnumber>
</article></entry>
</file>


<file>
<entry id="atkinlehner"><article>
  <author>
    <name><first>A.</first><last>Atkin</last></name>
    <name><first>J.</first><last>Lehner</last></name>
  </author>
  <title>Hecke operators on <M>\Gamma_0(m)</M> </title>
  <journal>Math. Ann. </journal>
  <year>1970</year>
  <volume>185</volume>
<pages>134--160</pages>
</article></entry>
</file>


<file>
<entry id="kulkarni"><article>
  <author>
    <name><first>R.S..</first><last>Kulkarni</last></name>
  </author>
  <title>An arithmetic-geometric method in the study of the subgroups of the modular group </title>
  <journal>American Journal of Mathematics </journal>
  <year>1991</year>
  <volume>113, No. 6</volume>
<pages>1053--1133</pages>
<url>https://www.jstor.org/stable/2374900</url>
</article></entry>
</file>


<file>
<entry id="shimura"><article>
  <author>
    <name><first>G.</first><last>Shimura</last></name>
  </author>
  <title>Sur les integrales attachees aux formes automorphes </title>
  <journal>Journal of the Mathematical Society of Japan </journal>
  <year>1959</year>
  <volume>67</volume>
<pages>291--311</pages>
<issn> 0025-5645</issn>
<mrnumber> 0120372</mrnumber>
</article></entry>
</file>



<entry id="MR1758871"><article>
  <author>
    <name><first>Shin</first><last>Satoh</last></name>
  </author>
  <title>Virtual knot presentation of ribbon torus-knots</title>
  <journal>J. Knot Theory Ramifications</journal>
  <year>2000</year>
  <volume>9</volume>
  <number>4</number>
  <pages>531--542</pages>
  <issn>0218-2165</issn>
  <mrnumber>1758871</mrnumber>
  <mrclass>57Q45 (57M25)</mrclass>
  <mrreviewer>Seiichi Kamada</mrreviewer>
  <url>https://doi.org/10.1142/S0218216500000293</url>
  <other type="doi">10.1142/S0218216500000293</other>
  <other type="fjournal">Journal of Knot Theory and its Ramifications</other>
</article></entry>


<entry id="MR2441256"><article>
  <author>
    <name><first>Louis H.</first><last>Kauffman</last></name>
    <name><first>Jo\~{a}o</first><last>Faria Martins</last></name>
  </author>
  <title>Invariants of welded virtual knots via crossed module
              invariants of knotted surfaces</title>
  <journal>Compos. Math.</journal>
  <year>2008</year>
  <volume>144</volume>
  <number>4</number>
  <pages>1046--1080</pages>
  <issn>0010-437X</issn>
  <mrnumber>2441256</mrnumber>
  <mrclass>57M25 (57Q45)</mrclass>
  <mrreviewer>Riccardo Piergallini</mrreviewer>
  <url>https://doi.org/10.1112/S0010437X07003429</url>
  <other type="doi">10.1112/S0010437X07003429</other>
  <other type="fjournal">Compositio Mathematica</other>
</article></entry>

<entry id="buiellis"><article>
  <author>
    <name><first>A.T.</first><last>Bui</last></name>
    <name><first>G.</first><last>Ellis</last></name>
  </author>
  <title>The homology of <M>SL_2(\mathbb Z[1/m])</M> for small <M>m</M> </title>
  <journal>Journal of Algebra</journal>
  <year>2014</year>
  <volume>408</volume>
  <pages>102--108</pages>
  <url>https://www.sciencedirect.com/science/article/pii/S002186931300625X</url>
</article></entry>

<entry id="ellisharrisskoldberg"><article>
  <author>
    <name><first>G.</first><last>Ellis</last></name>
    <name><first>J.</first><last>Harris</last></name>
    <name><first>E.</first><last>Skoldberg</last></name>
  </author>
  <title>Polytopal resolutions for finite groups </title>
  <journal> J. Reine Angew. Math.</journal>
  <year>2006</year>
  <volume>598</volume>
  <pages>131--137</pages>
</article></entry>


<entry id="brownloday"><article>
  <author>
    <name><first>R.</first><last>Brown</last></name>
    <name><first>J.-L.</first><last>Loday</last></name>
  </author>
  <title>Van Kampen theorems for diagrams of spaces </title>
  <journal> Topology</journal>
  <year>1987</year>
  <volume>26</volume>
  <pages>311--335</pages>
</article></entry>

<entry id="liuye"><article>
  <author>
    <name><first>C.</first><last>Liu</last></name>
    <name><first>W.</first><last>Ye</last></name>
  </author>
  <title> Crystallography, Group Cohomology, and Lieb-Schultz-Mattis Constraints</title>
  <journal> https://arxiv.org/abs/2410.03607/</journal>
  <year>2024</year>
</article></entry>

	<entry id="liuyegithub"><article>
  <author>
    <name><first>C.</first><last>Liu</last></name>
    <name><first>W.</first><last>Ye</last></name>
  </author>
  <title> Space group cohomology and LSM -- a github repository</title>
  <journal> https://github.com/liuchx1993/Space-Group-Cohomology-and-LSM</journal>
  <year>2024</year>
</article></entry>


<entry id="Webb"><article>
  <author>
    <name><first>PJ</first><last>Webb</last></name>
  </author>
  <title> Subgroup complexes</title>
  <journal> Proceedings of Symposia
in Pure Mathematics, Volume 47</journal>
  <year>1987</year>
</article></entry>

