Volume 19, issue 7 (2019)

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On the local homology of Artin groups of finite and affine type

Giovanni Paolini

Algebraic & Geometric Topology 19 (2019) 3615–3639
Bibliography
1 E Batzies, V Welker, Discrete Morse theory for cellular resolutions, J. Reine Angew. Math. 543 (2002) 147 MR1887881
2 A Björner, F Brenti, Combinatorics of Coxeter groups, 231, Springer (2005) MR2133266
3 F Callegaro, On the cohomology of Artin groups in local systems and the associated Milnor fiber, J. Pure Appl. Algebra 197 (2005) 323 MR2123992
4 F Callegaro, The homology of the Milnor fiber for classical braid groups, Algebr. Geom. Topol. 6 (2006) 1903 MR2263054
5 F Callegaro, D Moroni, M Salvetti, Cohomology of affine Artin groups and applications, Trans. Amer. Math. Soc. 360 (2008) 4169 MR2395168
6 F Callegaro, D Moroni, M Salvetti, Cohomology of Artin groups of type Ãn, Bn and applications, from: "Groups, homotopy and configuration spaces" (editors N Iwase, T Kohno, R Levi, D Tamaki, J Wu), Geom. Topol. Monogr. 13, Geom. Topol. Publ. (2008) 85 MR2508202
7 F Callegaro, D Moroni, M Salvetti, The K(π,1) problem for the affine Artin group of type Bn and its cohomology, J. Eur. Math. Soc. 12 (2010) 1 MR2578601
8 F Callegaro, M Salvetti, Integral cohomology of the Milnor fibre of the discriminant bundle associated with a finite Coxeter group, C. R. Math. Acad. Sci. Paris 339 (2004) 573 MR2111354
9 M K Chari, On discrete Morse functions and combinatorial decompositions, Discrete Math. 217 (2000) 101 MR1766262
10 C De Concini, C Procesi, M Salvetti, Arithmetic properties of the cohomology of braid groups, Topology 40 (2001) 739 MR1851561
11 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
12 P Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972) 273 MR0422673
13 R Forman, Morse theory for cell complexes, Adv. Math. 134 (1998) 90 MR1612391
14 È V Frenkel, Cohomology of the commutator subgroup of the braid group, Funktsional. Anal. i Prilozhen. 22 (1988) 91 MR961774
15 M Joswig, M E Pfetsch, Computing optimal Morse matchings, SIAM J. Discrete Math. 20 (2006) 11 MR2257241
16 D Kozlov, Combinatorial algebraic topology, 21, Springer (2008) MR2361455
17 C Okonek, Das K(π,1)–Problem für die affinen Wurzelsysteme vom Typ An, Cn, Math. Z. 168 (1979) 143 MR544701
18 G Paolini, Precise matchings, GitHub repository (2017)
19 G Paolini, M Salvetti, Weighted sheaves and homology of Artin groups, Algebr. Geom. Topol. 18 (2018) 3943 MR3892236
20 L Paris, K(π,1) conjecture for Artin groups, Ann. Fac. Sci. Toulouse Math. 23 (2014) 361 MR3205598
21 M Salvetti, Topology of the complement of real hyperplanes in N, Invent. Math. 88 (1987) 603 MR884802
22 M Salvetti, The homotopy type of Artin groups, Math. Res. Lett. 1 (1994) 565 MR1295551
23 M Salvetti, Some combinatorial constructions and relations with Artin groups, from: "Combinatorial methods in topology and algebra" (editors B Benedetti, E Delucchi, L Moci), Springer INdAM Ser. 12, Springer (2015) 121 MR3467336
24 M Salvetti, A Villa, Combinatorial methods for the twisted cohomology of Artin groups, Math. Res. Lett. 20 (2013) 1157 MR3228628