Zobrazeno 1 - 10
of 449
pro vyhledávání: '"Licata, Anthony"'
Given a triangulated category $D$ with an action of a fusion category $C$, we study the moduli space $Stab_{C}(D)$ of fusion-equivariant Bridgeland stability conditions on $D$. The main theorem is that the fusion-equivariant stability conditions form
Externí odkaz:
http://arxiv.org/abs/2311.06857
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
Publikováno v:
Advances in Math, Volume 413, 15 January 2023, 108849
We show that the equivariant hypertoric convolution algebras introduced by Braden-Licata-Proudfoot-Webster are affine quasi hereditary in the sense of Kleshchev and compute the Ext groups between standard modules. Together with the main result of arX
Externí odkaz:
http://arxiv.org/abs/2107.06480
Let $\mathfrak{g}$ be a semisimple simply-laced Lie algebra of finite type. Let $\mathcal{C}$ be an abelian categorical representation of the quantum group $U_q(\mathfrak{g})$ categorifying an integrable representation $V$. The Artin braid group $B$
Externí odkaz:
http://arxiv.org/abs/2101.05931
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
Publikováno v:
Selecta Mathematica, Volume 30, No 43, (2024)
We give a conjectural algebraic description of the Fukaya category of a complexified hyperplane complement, using the algebras defined in arXiv:0905.1335 from the equivariant cohomology of toric varieties. We prove this conjecture for cyclic arrangem
Externí odkaz:
http://arxiv.org/abs/2009.03981
Publikováno v:
In Advances in Mathematics 15 September 2023 429
Autor:
Dancso, Zsuzsanna, Licata, Anthony M.
We provide a homological algebraic realization of the lattices of integer cuts and integer flows of graphs. To a finite 2-edge-connected graph $\Gamma$ with a spanning tree $T$, we associate a finite dimensional Koszul algebra $A_{\Gamma,T}$. Under t
Externí odkaz:
http://arxiv.org/abs/1905.03067