Results 1 to 10 of about 43 (43)
q-deformed rational numbers and the 2-Calabi–Yau category of type $A_{2}$
Forum of Mathematics, Sigma, 2023 We describe a family of compactifications of the space of Bridgeland stability conditions of a triangulated category, following earlier work by Bapat, Deopurkar and Licata. We particularly consider the case of the 2-Calabi–Yau category of the $A_2$
Asilata Bapat +2 more
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Abelian subgroups of two‐dimensional Artin groups
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1338-1350, October 2021., 2021 Abstract We classify abelian subgroups of two‐dimensional Artin groups.
Alexandre Martin, Piotr Przytycki
wiley +1 more source
Calculating the virtual cohomological dimension of the automorphism group of a RAAG
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 259-273, February 2021., 2021 Abstract We describe an algorithm to find the virtual cohomological dimension of the automorphism group of a right‐angled Artin group. The algorithm works in the relative setting; in particular, it also applies to untwisted automorphism groups and basis‐conjugating automorphism groups.
Matthew B. Day +2 more
wiley +1 more source
Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
Transactions of the London Mathematical Society, 2021 The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands.
Matthieu Calvez +1 more
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Homological stability for Artin monoids
Proceedings of the London Mathematical Society, Volume 121, Issue 3, Page 537-583, September 2020., 2020 Abstract We prove that certain sequences of Artin monoids containing the braid monoid as a submonoid satisfy homological stability. When the K(π,1) conjecture holds for the associated family of Artin groups, this establishes homological stability for these groups.
Rachael Boyd
wiley +1 more source
Splitting of the homology of the punctured mapping class group
Journal of Topology, Volume 13, Issue 3, Page 1230-1260, September 2020., 2020 Abstract Let Γg,1m be the mapping class group of the orientable surface Σg,1m of genus g with one parametrized boundary curve and m permutable punctures; when m=0 we omit it from the notation. Let βm(Σg,1) be the braid group on m strands of the surface Σg,1. We prove that H∗(Γg,1m;Z2)≅H∗(Γg,1;H∗(βm(Σg,1);Z2)).
Andrea Bianchi
wiley +1 more source
Relative Nielsen Numbers, Braids and Periodic Segments
Advanced Nonlinear Studies, 2017 The aim of this paper is to establish a connection between the method of period segments and the relative Nielsen fixed point theory. We prove that if W is a periodic segment over [0,T]{[0,T]} for the T-periodic semi-process Φ, then the Poincaré map P ...
Wójcik Klaudiusz
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The classification of partially symmetric 3-braid links
Open Mathematics, 2015 We classify 3-braid links which are amphicheiral as unoriented links, including a new proof of Birman- Menasco’s result for the (orientedly) amphicheiral 3-braid links. Then we classify the partially invertible 3-braid links.
Stoimenov Alexander
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Polygonal words in free groups
, 2010 [2000] Primary 20F36, 20F65 hyperbolic group, surface group Abstract. A longstanding question of Gromov asks whether every one-ended word-hyperbolic group contains a subgroup isomorphic to the fundamental group of a closed hyperbolic surface. An infinite
S.-H. Kim +3 more
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The Cohomology of Right Angled Artin Groups with Group Ring Coefficients [PDF]
, 2005 The cohomology of a right-angled Artin group with group ring coefficients is explicitly presented in terms of the cohomology of its defining flag complex. 2000 Mathematics Subject Classification 20F36 (primary), 57M07 (secondary)
Jensen, Craig A
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