Results 1 to 10 of about 816 (30)
q-deformed rational numbers and the 2-Calabi–Yau category of type $A_{2}$
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
doaj +1 more source
Abelian subgroups of two‐dimensional Artin groups
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
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
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
doaj +1 more source
Homological stability for Artin monoids
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
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
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
doaj +1 more source
The classification of partially symmetric 3-braid links
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
doaj +1 more source
On the unrestricted virtual singular braid
Let n, m ∈ ℕ, n ≥ 3 and n ≥ m ≥ 2. In this paper, we study some properties of the unrestricted virtual singular braid of braid monoid UVSBmn and group UVSGmn.
Ligouras Panagiote
doaj +1 more source
Factors Influencing Runner's Choices of Footwear. [PDF]
Ramsey CA, Lamb P, Ribeiro DC.
europepmc +1 more source

