Algebraic & Geometric Topology Volume 18, issue 1 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Second mod $2$ homology of Artin groups

Toshiyuki Akita and Ye Liu

Algebraic & Geometric Topology 18 (2018) 547–568

DOI: 10.2140/agt.2018.18.547

Bibliography

1	V I Arnol’d, The cohomology ring of the colored braid group, Mat. Zametki 5 (1969) 227 MR0242196
2	N Bourbaki, Éléments de mathématique, XXXIV : Groupes et algèbres de Lie, Chapitres 4–6, 1337, Hermann (1968) MR0240238
3	K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
4	F Callegaro, D Moroni, M Salvetti, Cohomology of affine Artin groups and applications, Trans. Amer. Math. Soc. 360 (2008) 4169 MR2395168
5	F Callegaro, D Moroni, M Salvetti, The K(π,1) problem for the affine Artin group of type B_n and its cohomology, J. Eur. Math. Soc. 12 (2010) 1 MR2578601
6	R Charney, The Deligne complex for the four-strand braid group, Trans. Amer. Math. Soc. 356 (2004) 3881 MR2058510
7	R Charney, M W Davis, The K(π,1)–problem for hyperplane complements associated to infinite reflection groups, J. Amer. Math. Soc. 8 (1995) 597 MR1303028
8	M Clancy, G Ellis, Homology of some Artin and twisted Artin groups, J. K-Theory 6 (2010) 171 MR2672155
9	C De Concini, C Procesi, M Salvetti, Arithmetic properties of the cohomology of braid groups, Topology 40 (2001) 739 MR1851561
10	C De Concini, C Procesi, M Salvetti, F Stumbo, Arithmetic properties of the cohomology of Artin groups, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 28 (1999) 695 MR1760537
11	C De Concini, M Salvetti, Stability for the cohomology of Artin groups, Adv. Math. 145 (1999) 291 MR1704578
12	P Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972) 273 MR0422673
13	G Ellis, E Sköldberg, The K(π,1) conjecture for a class of Artin groups, Comment. Math. Helv. 85 (2010) 409 MR2595184
14	H Hendriks, Hyperplane complements of large type, Invent. Math. 79 (1985) 375 MR778133
15	R Hepworth, Homological stability for families of Coxeter groups, Algebr. Geom. Topol. 16 (2016) 2779 MR3572348
16	R B Howlett, On the Schur multipliers of Coxeter groups, J. London Math. Soc. 38 (1988) 263 MR966298
17	J E Humphreys, Reflection groups and Coxeter groups, 29, Cambridge Univ. Press (1990) MR1066460
18	G Karpilovsky, Group representations, Vol 2, 177, North-Holland (1993) MR1215935
19	M Korkmaz, A I Stipsicz, The second homology groups of mapping class groups of oriented surfaces, Math. Proc. Cambridge Philos. Soc. 134 (2003) 479 MR1981213
20	H van der Lek, The homotopy type of complex hyperplane complements, PhD thesis, University of Nijmegen (1983)
21	C Okonek, Das K(π,1)–Problem für die affinen Wurzelsysteme vom Typ A_n,C_n, Math. Z. 168 (1979) 143 MR544701
22	L Paris, Parabolic subgroups of Artin groups, J. Algebra 196 (1997) 369 MR1475116
23	L Paris, Braid groups and Artin groups, from: "Handbook of Teichmüller theory, Vol II" (editor A Papadopoulos), IRMA Lect. Math. Theor. Phys. 13, Eur. Math. Soc. (2009) 389 MR2497781
24	L Paris, K(π,1) conjecture for Artin groups, Ann. Fac. Sci. Toulouse Math. 23 (2014) 361 MR3205598
25	L Paris, Lectures on Artin groups and the K(π,1) conjecture, from: "Groups of exceptional type, Coxeter groups and related geometries" (editor N S N Sastry), Springer Proc. Math. Stat. 82, Springer (2014) 239 MR3207280