Results 1 to 10 of about 834 (49)
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
Affine configurations and pure braids [PDF]
, 2008 We show that the fundamental group of the space of ordered affine-equivalent configurations of at least five points in the real plane is isomorphic to the pure braid group modulo its centre.
A. Björner +9 more
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Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation [PDF]
, 2010 Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and $q$-anyonic models as well as nonlinear Schr\"odinger ...
Kundu, Anjan
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Braid groups in complex Grassmannians [PDF]
, 2013 We describe the fundamental group and second homotopy group of ordered $k-$point sets in $Gr(k,n)$ generating a subspace of fixed dimension.Comment: 10 ...
Manfredini, Sandro, Settepanella, Simona
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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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