29 citations · 42 across the 12 of their papers we have counts for
7 papers · 1 filter
A sphere of spherical objects
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
Given a Bridgeland stability condition on a 2-Calabi--Yau category, we define a simplicial complex that encodes the Harder--Narasimhan filtrations of spherical objects. For 2-Calab…
Some remarks about the faithfulness of the Burau representation of Artin--Tits groups
Asilata Bapat, Hoel Queffelec
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…
-deformed rational numbers and the 2-Calabi--Yau category of type
Asilata Bapat, Louis Becker, Anthony M. Licata
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 pa…
Spherical objects and stability conditions on 2-Calabi--Yau quiver categories
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
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…
A Thurston compactification of the space of stability conditions
Asilata Bapat, Anand Deopurkar, Anthony M. Licata
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 me…
Recollement for perverse sheaves on real hyperplane arrangements
Asilata Bapat
We consider a hyperplane arrangement in defined over , and the associated natural stratification of . The category of perverse sheaves smoo…
Torus actions and tensor products of intersection cohomology
Asilata Bapat
Given certain intersection cohomology sheaves on a projective variety with a torus action, we relate the cohomology groups of their tensor product to the cohomology groups of the i…