Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Bapat, Asilata"'
Autor:
Bapat, Asilata, Queffelec, Hoel
We discuss the extension of the faithfulness question for the Burau representation of braid groups to the case of Artin--Tits groups. We prove that the Burau representation is not faithful in affine type $\tilde{A_3}$, and not faithful over several f
Externí odkaz:
http://arxiv.org/abs/2409.00144
Autor:
Bapat, Asilata, Pilaud, Vincent
Motivated by categorical representation theory, we define the wiggly complex, whose vertices are arcs wiggling around $n+2$ points on a line, and whose faces are sets of wiggly arcs which are pairwise pointed and non-crossing. The wiggly complex is a
Externí odkaz:
http://arxiv.org/abs/2407.11632
Autor:
Bapat, Asilata, Brooks, Robyn, Hacker, Celia, Landi, Claudia, Mahler, Barbara I., Stephenson, Elizabeth R.
The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact computation of this distance would allow multi-parameter persistent h
Externí odkaz:
http://arxiv.org/abs/2210.12868
We describe a family of compactifications of the space of Bridgeland stability conditions of any 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
Externí odkaz:
http://arxiv.org/abs/2202.07613
Consider a 2-Calabi--Yau triangulated category with a Bridgeland stability condition. We devise an effective procedure to reduce the phase spread of an object by applying spherical twists. Using this, we give new proofs of the following theorems for
Externí odkaz:
http://arxiv.org/abs/2108.09155
Although there is no doubt that multi-parameter persistent homology is a useful tool to analyse multi-variate data, efficient ways to compute these modules are still lacking in the available topological data analysis toolboxes. Other issues such as i
Externí odkaz:
http://arxiv.org/abs/2011.14967
We propose compactifications of the moduli space of Bridgeland stability conditions of a triangulated category. Our construction arises from a viewing a stability condition as a metric on the underlying category and is inspired by the Thurston compac
Externí odkaz:
http://arxiv.org/abs/2011.07908
Autor:
Bapat, Asilata
We consider a hyperplane arrangement in $\mathbb{C}^n$ defined over $\mathbb{R}$, and the associated natural stratification of $\mathbb{C}^n$. The category of perverse sheaves smooth with respect to this stratification was described by Kapranov and S
Externí odkaz:
http://arxiv.org/abs/1810.13126
Autor:
Bapat, Asilata, Walters, Robin
The Bernstein-Sato polynomial, or the $b$-function, is an important invariant of singularities of hypersurfaces that is difficult to compute in general. We describe a few different results towards computing the $b$-function of the Vandermonde determi
Externí odkaz:
http://arxiv.org/abs/1503.01055