1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185
|
[1XReferences[101X
[[20XAL70[120X] [16XAtkin, A. and Lehner, J.[116X, [17XHecke operators on Γ_0(m) [117X, [18XMath. Ann. [118X,
[19X185[119X (1970), 134--160.
[[20XBCNS15[120X] [16XBraun, O., Coulangeon, R., Nebe, G. and Schoennenbeck, S.[116X,
[17XComputing in arithmetic groups with Voronoï’s algorithm[117X, [18XJ. Algebra [118X, [19X435[119X
(2015), 263--285.
[[20XBE14[120X] [16XBui, A. and Ellis, G.[116X, [17XThe homology of SL_2( Z[1/m]) for small m [117X,
[18XJournal of Algebra[118X, [19X408[119X (2014), 102--108.
[[20XBer00[120X] [16XBerkove, E.[116X, [17X On the Mod-2 Cohomology of the Bianchi Groups [117X, Trans.
of the AMS., 352, no. 10 (2000).
[[20XBer06[120X] [16XBerkove, E.[116X, [17X The integral Cohomology of the Bianchi Groups [117X, Trans.
of the AMS., 358, no. 3 (2006).
[[20XBer16[120X] [16XBergeron, N.[116X, [17XTorsion homology growth in arithmetic groups [117X,
EuropeanMathematical Society, European Congress of Mathematicians, July
18-22 (2016).
[[20XBL87[120X] [16XBrown, R. and Loday, J.-L.[116X, [17XVan Kampen theorems for diagrams of
spaces [117X, [18X Topology[118X, [19X26[119X (1987), 311--335.
[[20XBLR20[120X] [16XBerkove, E., Lakeland, G. and Rahm, A.[116X, [17X The mod2 cohomology rings
of congruence subgroups in the Bianchi groups [117X, J. Algebraic Combin. 52
(2020).
[[20XBro60[120X] [16XBrody, E.[116X, [17XThe topological classification of the lens spaces [117X, Ann.
of Math. 71, 163–184 (1960).
[[20XCKL14[120X] [16XCoeurjolly, D., Kerautret, B. and Lachaud, J.-O.[116X, [17X Extraction of
Connected Region Boundary in Multidimensional Images [117X, Image Processing On
Line (2014).
[[20XDPR91[120X] [16XDijkgraaf, R., Pasquier, V. and Roche, P.[116X, [17XQuasi-Hopf algebras,
group cohomology and orbifold models [117X, Nuclear Phys. B Proc. Suppl. 18B,
60-72 (1991).
[[20XDSGG+16[120X] [16XDutour Sikiric, M., Gangl, H., Gunnells, P., Hanke, J.,
Schuermann, A. and Yasaki, D.[116X, [17X On the cohomology of linear groups over
imaginary quadratic fields. [117X, J. Pure and Applied Algebra, volume 220, issue
7 (2016).
[[20XEHS06[120X] [16XEllis, G., Harris, J. and Skoldberg, E.[116X, [17XPolytopal resolutions for
finite groups [117X, [18X J. Reine Angew. Math.[118X, [19X598[119X (2006), 131--137.
[[20XEic57[120X] [16XEichler, M.[116X, [17XEine Verallgemeinerung der Abelschen Integrale [117X,
[18XMathematische Zeitschrift [118X, [19X67[119X (1957), 267--298.
[[20XGM15[120X] [16XGoncalves, D. and Martins, S.[116X, [17X Diagonal approximation and the
cohomology ring of the fundamental groups of surfaces [117X, European Journal of
Mathematics, 1, pp122--137 (2015).
[[20XGre13[120X] [16XGreene, J.[116X, [17XThe lens space realization problem [117X, Annals of
Mathematics 177, pages 449-511 (2013).
[[20XHat01[120X] [16XHatcher, A.[116X, [17XAlgebraic Topology [117X, Available online (2001).
[[20XHor00[120X] [16XHoradam, K.[116X, [17XAn introduction to cocyclic generalised Hadamard
matrices [117X, Discrete Applied Math, 102, 115-130 (2000).
[[20XIO01[120X] [16XIgusa, K. and Orr, K. E.[116X, [17X Links, pictures and the homology of
nilpotent groups [117X, Topology, Volume 40, Issue 6, pp-1125--1166 (2001).
[[20XJoh16[120X] [16XJohnson, F.[116X, [17XSyzygies and dihedral resolutions for dihedral groups [117X,
Communication in Algebra 44(5), pp 2034-2047 (2016).
[[20XKFM08[120X] [16XKauffman, L. H. and Faria Martins, J.[116X, [17XInvariants of welded virtual
knots via crossed module invariants of knotted surfaces[117X, [18XCompos. Math.[118X, [19X144[119X,
4 (2008), 1046--1080.
[[20XKho01[120X] [16XKholodna, I.[116X, [17XLow-dimensional homotopical syzygies [117X, PhD Thesis,
National University of Ireland Galway (2001).
[[20XKS98[120X] [16XKuz'min, Y. V. and Semenov, Y. S.[116X, [17X On the homology of a free
nilpotent group of class 2 [117X, Mat. Sb. 189, no. 4, pp 49--82 (1998).
[[20XKso00[120X] [16XKsontini, R.[116X, [17XProprietes homotopiques du complexe de Quillen du
groupe symetrique[117X, These de doctorat, Universitet de Lausanne (2000).
[[20XKul91[120X] [16XKulkarni, R.[116X, [17XAn arithmetic-geometric method in the study of the
subgroups of the modular group [117X, [18XAmerican Journal of Mathematics [118X, [19X113, No.
6[119X (1991), 1053--1133.
[[20XLY24a[120X] [16XLiu, C. and Ye, W.[116X, [17X Crystallography, Group Cohomology, and
Lieb-Schultz-Mattis Constraints[117X, [18X https://arxiv.org/abs/2410.03607/[118X (2024).
[[20XLY24b[120X] [16XLiu, C. and Ye, W.[116X, [17X Space group cohomology and LSM -- a github
repository[117X, [18X https://github.com/liuchx1993/Space-Group-Cohomology-and-LSM[118X
(2024).
[[20XMFTM01[120X] [16XMartin, D., Fowlkes, C., Tal, D. and Malik, J.[116X, [17X A Database of
Human Segmented Natural Images and its Application to Evaluating
Segmentation Algorithms and Measuring Ecological Statistics [117X, Proc. 8th
Int'l Conf. Computer Vision, 2, pp 416--423 (2001).
[[20XMil58[120X] [16XMilnor, J.[116X, [17XOn simply connected 4-manifolds[117X, International symposium
on algebraic topology, Universidad Nacional Autonoma de Mexico and UNESCO,
Mexico City (1958).
[[20XMoi52[120X] [16XMoise, E.[116X, [17XAffine structures in 3-manifolds V. The triangulation
theorem and Hauptvermu- tung[117X, Annals of Math. 56, 96--114 (1952).
[[20XMos71[120X] [16XMoser, L.[116X, [17XElementary surgery along a torus knot [117X, Pacific Journal
of Mathematics, Vol. 38, No. 3 (1971).
[[20XPY03[120X] [16XPrzytycki, J. and Yasukhara, A.[116X, [17XSymmetry of links and classification
of lens spaces[117X, Geom. Dedicata 98, 57--61 (2003).
[[20XRah10[120X] [16XRahm, A.[116X, [17XCohomologies and K-theory of Bianchi groups using
computational geometric models [117X, These de doctorat, Universite
Joseph-Fourier -- Grenoble I (2010).
[[20XRah13a[120X] [16XRahm, A.[116X, [17X Higher torsion in the Abelianization of the full Bianchi
groups [117X, LMS J. Comput. Math. 16 (2013).
[[20XRah13b[120X] [16XRahm, A.[116X, [17X The homological torsion of PSL2 of the imaginary
quadratic integers [117X, Trans. Amer. Math. Soc. 365 (2013).
[[20XRei35[120X] [16XReidemeister, K.[116X, [17XHomotopieringe und Linsenraume [117X, Abh. Math. Sem.
Univ. Hamburg 11 , 102–109 (1935).
[[20XRF13[120X] [16XRahm, A. and Fuchs, M.[116X, [17X The integral homology of PSL2 of imaginary
quadratic integers with nontrivial class group[117X, J. Pure Appl. Algebra 215
(2013).
[[20XSat00[120X] [16XSatoh, S.[116X, [17XVirtual knot presentation of ribbon torus-knots[117X, [18XJ. Knot
Theory Ramifications[118X, [19X9[119X, 4 (2000), 531--542.
[[20XSen11[120X] [16XSengun, M. H.[116X, [17XOn the Integral Cohomology of Bianchi Groups [117X,
[18XExperimental Mathematics [118X, [19X20(4)[119X (2011), 487--505.
[[20XShi59[120X] [16XShimura, G.[116X, [17XSur les integrales attachees aux formes automorphes [117X,
[18XJournal of the Mathematical Society of Japan [118X, [19X67[119X (1959), 291--311.
[[20XSK11[120X] [16XSpreer, J. and Khuenel, W.[116X, [17XCombinatorial properties of the K3
surface: Simplicial blowups and slicings[117X, Experimental Mathematics Volume 20
Issue 2 (2011).
[[20XSte07[120X] [16XStein, W.[116X, [17XModular forms, a computational approach [117X, AMS Graduate
Studies in Mathematics , [19X79[119X (2007).
[[20XSV83[120X] [16XSchwermer, J. and Vogtmann, K.[116X, [17X The Integral Homology of SL2 and
PSL2 of Euclidean Imaginary Quadratic Integer [117X, Comment. Math. Helvetica 58
(1983).
[[20XSwa60[120X] [16XSwan, R.[116X, [17XPeriodic resolutions for finite groups [117X, Annals of
Mathematics 72, pages 267-291 (1960).
[[20XSwa71a[120X] [16XSwan, R.[116X, [17XGenerators and relations for certain general linear
groups [117X, [18XAdvances in Mathematics [118X, [19X6[119X (1971), 1--77.
[[20XSwa71b[120X] [16XSwan, R.[116X, [17XGenerators and relations for certain Special Linear
Groups [117X, Advances in Mathematics 6, 1--77 (1971).
[[20XSym10[120X] [16XSymmonds, P.[116X, [17X ON THE CASTELNUOVO-MUMFORD REGULARITY OF THE
COHOMOLOGY RING OF A GROUP [117X, Journal of the Americal Mathematical Society,
Volume 23 (2010).
[[20XThu02[120X] [16XThurston, W.[116X, [17X The Geometry and Topology of Three-Manifolds [117X,
http://www.msri.org/publications/books/gt3m/ (2002).
[[20XTZ08[120X] [16XTomoda, S. and Zvengrowski, P.[116X, [17XRemarks on the cohomology of finite
fundamental groups of 3-manifolds[117X, Geometry and Topology Monographs 14,
519-556 (2008).
[[20XVog85[120X] [16XVogtmann, K.[116X, [17X Cohomology of Bianchi Groups, Math. [117X, Math. Ann. 272
(1985).
[[20XWeb87[120X] [16XWebb, P.[116X, [17X Subgroup complexes[117X, [18X Proceedings of Symposia in Pure
Mathematics, Volume 47[118X (1987).
[[20XWie78[120X] [16XWieser, G.[116X, [17XComputational arithmetic of modular forms [117X, Universitat
Duisburg-Essen (2007/8).
[[20XWue92[120X] [16XWuestner, M.[116X, [17X An example of a nonsolvable Lie algebra [117X, Seminar
Sophus Lie 2, 57-58 (1992).
[32X
|