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@book{ Gangl,
author = {Dutour Sikiric, M. and Gangl, H. and Gunnells, P. and
Hanke, J. and Schuermann, A. and Yasaki, D.},
title = {On the cohomology of linear groups over imaginary
quadratic fields.},
publisher = {J. Pure and Applied Algebra, volume 220, issue 7},
year = {2016},
printedkey = {SGGHSY16}
}
@book{ Schwermer,
author = {Schwermer, J. and Vogtmann, K.},
title = {The Integral Homology of SL2 and PSL2 of Euclidean
Imaginary Quadratic Integer},
publisher = {Comment. Math. Helvetica 58},
year = {1983},
printedkey = {SV83}
}
@book{ Vogtmann,
author = {Vogtmann, K.},
title = {Cohomology of Bianchi Groups, Math.},
publisher = {Math. Ann. 272},
year = {1985},
printedkey = {Vog85}
}
@book{ Berkove00,
author = {Berkove, E.},
title = {On the Mod\texttt{\symbol{45}}2 Cohomology of the
Bianchi Groups},
publisher = {Trans. of the AMS., 352, no. 10},
year = {2000},
printedkey = {Ber00}
}
@book{ Berkove06,
author = {Berkove, E.},
title = {The integral Cohomology of the Bianchi Groups},
publisher = {Trans. of the AMS., 358, no. 3},
year = {2006},
printedkey = {Ber06}
}
@book{ Rahm13,
author = {Rahm, A.},
title = {The homological torsion of PSL2 of the imaginary
quadratic integers},
publisher = {Trans. Amer. Math. Soc. 365},
year = {2013},
printedkey = {Rah13}
}
@book{ Rahm11,
author = {Rahm, A. and Fuchs, M.},
title = {The integral homology of PSL2 of imaginary quadratic
integers with nontrivial class group},
publisher = {J. Pure Appl. Algebra 215},
year = {2013},
printedkey = {RF13}
}
@book{ Rahm13a,
author = {Rahm, A.},
title = {Higher torsion in the Abelianization of the full
Bianchi groups},
publisher = {LMS J. Comput. Math. 16},
year = {2013},
printedkey = {Rah13}
}
@book{ Rahm20,
author = {Berkove, E. and Lakeland, G. and Rahm, A.},
title = {The mod2 cohomology rings of congruence subgroups in
the Bianchi groups},
publisher = {J. Algebraic Combin. 52},
year = {2020},
printedkey = {BLR20}
}
@book{ Symmonds,
author = {Symmonds, P.},
title = {ON THE CASTELNUOVO\texttt{\symbol{45}}MUMFORD
REGULARITY OF THE COHOMOLOGY RING OF A GROUP},
publisher = {Journal of the Americal Mathematical Society, Volume
23},
year = {2010},
printedkey = {Sym10}
}
@book{ Wustner,
author = {Wuestner, M.},
title = {An example of a nonsolvable Lie algebra},
publisher = {Seminar Sophus Lie 2, 57\texttt{\symbol{45}}58},
year = {1992},
printedkey = {Wue92}
}
@book{ igusa,
author = {Igusa, K. and Orr, K. E.},
title = {Links, pictures and the homology of nilpotent groups},
publisher = {Topology, Volume 40, Issue 6,
pp\texttt{\symbol{45}}1125\texttt{\symbol{45}}\texttt{\symbol{45}}1166},
year = {2001},
printedkey = {IO01}
}
@book{ kuzmin,
author = {Kuz'min, Y. V. and Semenov, Y. S.},
title = {On the homology of a free nilpotent group of class 2},
publisher = {Mat. Sb. 189, no. 4, pp
49\texttt{\symbol{45}}\texttt{\symbol{45}}82},
year = {1998},
printedkey = {KS98}
}
@book{ thurston,
author = {Thurston, W.},
title = {The Geometry and Topology of
Three\texttt{\symbol{45}}Manifolds},
publisher = {http://www.msri.org/publications/books/gt3m/},
year = {2002},
printedkey = {Thu02}
}
@book{ goncalves,
author = {Goncalves, D. and Martins, S.},
title = {Diagonal approximation and the cohomology ring of the
fundamental groups of surfaces},
publisher = {European Journal of Mathematics, 1,
pp122\texttt{\symbol{45}}\texttt{\symbol{45}}137},
year = {2015},
printedkey = {GM15}
}
@book{ coeurjolly,
author = {Coeurjolly, D. and Kerautret, B. and Lachaud,
J.\texttt{\symbol{45}}O.},
title = {Extraction of Connected Region Boundary in
Multidimensional Images},
publisher = {Image Processing On Line},
year = {2014},
printedkey = {CKL14}
}
@book{ MartinFTM01,
author = {Martin, D. and Fowlkes, C. and Tal, D. and Malik, J.},
title = {A Database of Human Segmented Natural Images and its
Application to Evaluating Segmentation Algorithms and
Measuring Ecological Statistics},
publisher = {Proc. 8th Int'l Conf. Computer Vision, 2, pp
416\texttt{\symbol{45}}\texttt{\symbol{45}}423},
year = {2001},
printedkey = {MFTM01}
}
@book{ johnson,
author = {Johnson, F.},
title = {Syzygies and dihedral resolutions for dihedral groups},
publisher = {Communication in Algebra 44(5), pp
2034\texttt{\symbol{45}}2047},
year = {2016},
printedkey = {Joh16}
}
@book{ kholodna,
author = {Kholodna, I.},
title = {Low\texttt{\symbol{45}}dimensional homotopical
syzygies},
publisher = {PhD Thesis, National University of Ireland Galway},
year = {2001},
printedkey = {Kho01}
}
@book{ swan2,
author = {Swan, R.},
title = {Periodic resolutions for finite groups},
publisher = {Annals of Mathematics 72, pages
267\texttt{\symbol{45}}291},
year = {1960},
printedkey = {Swa60}
}
@book{ swanB,
author = {Swan, R.},
title = {Generators and relations for certain Special Linear
Groups},
publisher = {Advances in Mathematics 6,
1\texttt{\symbol{45}}\texttt{\symbol{45}}77},
year = {1971},
printedkey = {Swa71}
}
@book{ greene,
author = {Greene, J.},
title = {The lens space realization problem},
publisher = {Annals of Mathematics 177, pages
449\texttt{\symbol{45}}511},
year = {2013},
printedkey = {Gre13}
}
@book{ lmoser,
author = {Moser, L.},
title = {Elementary surgery along a torus knot},
publisher = {Pacific Journal of Mathematics, Vol. 38, No. 3},
year = {1971},
printedkey = {Mos71}
}
@book{ horadam,
author = {Horadam, K.},
title = {An introduction to cocyclic generalised Hadamard
matrices},
publisher = {Discrete Applied Math, 102, 115\texttt{\symbol{45}}130},
year = {2000},
printedkey = {Hor00}
}
@book{ dpr,
author = {Dijkgraaf, R. and Pasquier, V. and Roche, P.},
title = {Quasi\texttt{\symbol{45}}Hopf algebras, group
cohomology and orbifold models},
publisher = {Nuclear Phys. B Proc. Suppl. 18B,
60\texttt{\symbol{45}}72},
year = {1991},
printedkey = {DPR91}
}
@book{ brody,
author = {Brody, E.},
title = {The topological classification of the lens spaces},
publisher = {Ann. of Math. 71, 163{\textendash}184},
year = {1960},
printedkey = {Bro60}
}
@book{ reidemeister,
author = {Reidemeister, K.},
title = {Homotopieringe und Linsenraume},
publisher = {Abh. Math. Sem. Univ. Hamburg 11 , 102{\textendash}109},
year = {1935},
printedkey = {Rei35}
}
@book{ moise,
author = {Moise, E.},
title = {Affine structures in 3\texttt{\symbol{45}}manifolds V.
The triangulation theorem and
Hauptvermu\texttt{\symbol{45}} tung},
publisher = {Annals of Math. 56,
96\texttt{\symbol{45}}\texttt{\symbol{45}}114},
year = {1952},
printedkey = {Moi52}
}
@book{ przytycki,
author = {Przytycki, J. and Yasukhara, A.},
title = {Symmetry of links and classification of lens spaces},
publisher = {Geom. Dedicata 98,
57\texttt{\symbol{45}}\texttt{\symbol{45}}61},
year = {2003},
printedkey = {PY03}
}
@book{ tomoda,
author = {Tomoda, S. and Zvengrowski, P.},
title = {Remarks on the cohomology of finite fundamental groups
of 3\texttt{\symbol{45}}manifolds},
publisher = {Geometry and Topology Monographs 14,
519\texttt{\symbol{45}}556},
year = {2008},
printedkey = {TZ08}
}
@book{ spreerkhuenel,
author = {Spreer, J. and Khuenel, W.},
title = {Combinatorial properties of the K3 surface: Simplicial
blowups and slicings},
publisher = {Experimental Mathematics Volume 20 Issue 2},
year = {2011},
printedkey = {SK11}
}
@book{ milnor,
author = {Milnor, J.},
title = {On simply connected 4\texttt{\symbol{45}}manifolds},
publisher = {International symposium on algebraic topology,
Universidad Nacional Autonoma de Mexico and UNESCO,
Mexico City},
year = {1958},
printedkey = {Mil58}
}
@book{ hatcher,
author = {Hatcher, A.},
title = {Algebraic Topology},
publisher = {Available online},
year = {2001},
url = {http://pi.math.cornell.edu/\texttt{\symbol{126}}hatcher/AT/ATplain.pdf},
printedkey = {Hat01}
}
@book{ ksontini,
author = {Ksontini, R.},
title = {Proprietes homotopiques du complexe de Quillen du
groupe symetrique},
publisher = {These de doctorat, Universitet de Lausanne},
year = {2000},
url = {http://sma.epfl.ch/\texttt{\symbol{126}}thevenaz/theses/Ksontini{\textunderscore}thesis.pdf},
printedkey = {Kso00}
}
@book{ bergeron,
author = {Bergeron, N.},
title = {Torsion homology growth in arithmetic groups},
publisher = {EuropeanMathematical Society, European Congress of
Mathematicians, July 18\texttt{\symbol{45}}22},
year = {2016},
url = {https://www.ems\texttt{\symbol{45}}ph.org/books/book.php?proj{\textunderscore}nr=220},
printedkey = {Ber16}
}
@book{ rahmthesis,
author = {Rahm, A.},
title = {Cohomologies and $K$\texttt{\symbol{45}}theory of
Bianchi groups using computational geometric models},
publisher = {These de doctorat, Universite
Joseph\texttt{\symbol{45}}Fourier
\texttt{\symbol{45}}\texttt{\symbol{45}} Grenoble I},
year = {2010},
url = {https://tel.archives\texttt{\symbol{45}}ouvertes.fr/tel\texttt{\symbol{45}}00526976v6},
printedkey = {Rah10}
}
@book{ stein,
author = {Stein, W.},
title = {Modular forms, a computational approach},
publisher = {AMS Graduate Studies in Mathematics},
volume = {79},
year = {2007},
url = {https://wstein.org/books/modform/modform/},
printedkey = {Ste07}
}
@book{ wieser,
author = {Wieser, G.},
title = {Computational arithmetic of modular forms},
publisher = {Universitat Duisburg\texttt{\symbol{45}}Essen},
year = {2007/8},
url = {http://math.uni.lu/\texttt{\symbol{126}}wiese/notes/MFII.pdf},
printedkey = {Wie/8}
}
@article{ eichler,
author = {Eichler, M.},
title = {Eine Verallgemeinerung der Abelschen Integrale},
journal = {Mathematische Zeitschrift},
volume = {67},
year = {1957},
pages = {267\texttt{\symbol{45}}\texttt{\symbol{45}}298},
issn = {0025\texttt{\symbol{45}}5874},
mrnumber = {0089928},
printedkey = {Eic57}
}
@article{ sengun,
author = {Sengun, M. H.},
title = {On the Integral Cohomology of Bianchi Groups},
journal = {Experimental Mathematics},
volume = {20(4)},
year = {2011},
pages = {487\texttt{\symbol{45}}\texttt{\symbol{45}}505},
issn = {1058\texttt{\symbol{45}}6458 print},
printedkey = {Sen11}
}
@article{ schoennenbeck,
author = {Braun, O. and Coulangeon, R. and Nebe, G. and
Schoennenbeck, S.},
title = {Computing in arithmetic groups with
Vorono{\"\i}{\textquoteright}s algorithm},
journal = {J. Algebra},
volume = {435},
year = {2015},
pages = {263\texttt{\symbol{45}}\texttt{\symbol{45}}285},
printedkey = {BCNS15}
}
@article{ swan,
author = {Swan, R.},
title = {Generators and relations for certain general linear
groups},
journal = {Advances in Mathematics},
volume = {6},
year = {1971},
pages = {1\texttt{\symbol{45}}\texttt{\symbol{45}}77},
mrnumber = {0284516},
printedkey = {Swa71}
}
@article{ atkinlehner,
author = {Atkin, A. and Lehner, J.},
title = {Hecke operators on $\Gamma_0(m)$},
journal = {Math. Ann.},
volume = {185},
year = {1970},
pages = {134\texttt{\symbol{45}}\texttt{\symbol{45}}160},
printedkey = {AL70}
}
@article{ kulkarni,
author = {Kulkarni, R.},
title = {An arithmetic\texttt{\symbol{45}}geometric method in
the study of the subgroups of the modular group},
journal = {American Journal of Mathematics},
volume = {113, No. 6},
year = {1991},
pages = {1053\texttt{\symbol{45}}\texttt{\symbol{45}}1133},
url = {https://www.jstor.org/stable/2374900},
printedkey = {Kul91}
}
@article{ shimura,
author = {Shimura, G.},
title = {Sur les integrales attachees aux formes automorphes},
journal = {Journal of the Mathematical Society of Japan},
volume = {67},
year = {1959},
pages = {291\texttt{\symbol{45}}\texttt{\symbol{45}}311},
issn = {0025\texttt{\symbol{45}}5645},
mrnumber = {0120372},
printedkey = {Shi59}
}
@article{ MR1758871,
author = {Satoh, S.},
title = {Virtual knot presentation of ribbon
torus\texttt{\symbol{45}}knots},
journal = {J. Knot Theory Ramifications},
volume = {9},
number = {4},
year = {2000},
pages = {531\texttt{\symbol{45}}\texttt{\symbol{45}}542},
fjournal = {Journal of Knot Theory and its Ramifications},
issn = {0218\texttt{\symbol{45}}2165},
mrclass = {57Q45 (57M25)},
mrnumber = {1758871},
mrreviewer = {Seiichi Kamada},
url = {https://doi.org/10.1142/S0218216500000293},
doi = {10.1142/S0218216500000293},
printedkey = {Sat00}
}
@article{ MR2441256,
author = {Kauffman, L. H. and Faria Martins, J.},
title = {Invariants of welded virtual knots via crossed module
invariants of knotted surfaces},
journal = {Compos. Math.},
volume = {144},
number = {4},
year = {2008},
pages = {1046\texttt{\symbol{45}}\texttt{\symbol{45}}1080},
fjournal = {Compositio Mathematica},
issn = {0010\texttt{\symbol{45}}437X},
mrclass = {57M25 (57Q45)},
mrnumber = {2441256},
mrreviewer = {Riccardo Piergallini},
url = {https://doi.org/10.1112/S0010437X07003429},
doi = {10.1112/S0010437X07003429},
printedkey = {KM08}
}
@article{ buiellis,
author = {Bui, A. and Ellis, G.},
title = {The homology of $SL_2(\mathbb Z[1/m])$ for small $m$},
journal = {Journal of Algebra},
volume = {408},
year = {2014},
pages = {102\texttt{\symbol{45}}\texttt{\symbol{45}}108},
url = {https://www.sciencedirect.com/science/article/pii/S002186931300625X},
printedkey = {BE14}
}
@article{ ellisharrisskoldberg,
author = {Ellis, G. and Harris, J. and Skoldberg, E.},
title = {Polytopal resolutions for finite groups},
journal = {J. Reine Angew. Math.},
volume = {598},
year = {2006},
pages = {131\texttt{\symbol{45}}\texttt{\symbol{45}}137},
printedkey = {EHS06}
}
@article{ brownloday,
author = {Brown, R. and Loday, J.\texttt{\symbol{45}}L.},
title = {Van Kampen theorems for diagrams of spaces},
journal = {Topology},
volume = {26},
year = {1987},
pages = {311\texttt{\symbol{45}}\texttt{\symbol{45}}335},
printedkey = {BL87}
}
@article{ liuye,
author = {Liu, C. and Ye, W.},
title = {Crystallography, Group Cohomology, and
Lieb\texttt{\symbol{45}}Schultz\texttt{\symbol{45}}Mattis
Constraints},
journal = {https://arxiv.org/abs/2410.03607/},
year = {2024},
printedkey = {LY24}
}
@article{ liuyegithub,
author = {Liu, C. and Ye, W.},
title = {Space group cohomology and LSM
\texttt{\symbol{45}}\texttt{\symbol{45}} a github
repository},
journal = {https://github.com/liuchx1993/Space\texttt{\symbol{45}}Group\texttt{\symbol{45}}Cohomology\texttt{\symbol{45}}and\texttt{\symbol{45}}LSM},
year = {2024},
printedkey = {LY24}
}
@article{ Webb,
author = {Webb, P.},
title = {Subgroup complexes},
journal = {Proceedings of Symposia in Pure Mathematics, Volume 47},
year = {1987},
printedkey = {Web87}
}
|
