25 papers · 1 filter
On the image of Hitchin morphism for some classical groups on algebraic surfaces
Artan Sheshmani, Jianping Wang, Xiaopeng Xia
In this article, we study the image of the Hitchin morphism for some classical groups over an algebraic surface. The Hitchin morphism is a map from the moduli stack of -Higgs bu…
Toric Landau-Ginzburg models in threefold divisorial contractions
Yang He, Artan Sheshmani
We investigate quantum periods and toric Landau-Ginzburg models under divisorial contractions of terminal Fano threefolds. Let be a divisorial contraction betwe…
Hodge rigidity of Chern classes
Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau
In this paper, we study the homogeneous components of the Chern--Schwartz--MacPherson (CSM) classes of Schubert cells. We prove that, under suitable conditions, each such component…
Microlocal index theorems and analytic torsion invariants in the geometric theory of partial differential equations
Jacob Kryczka, Vladimir Rubtsov, Artan Sheshmani +1
We develop a microlocal and derived-geometric framework for index theory and analytic torsion of nonlinear PDEs. By integrating Spencer hypercohomology, microlocal sheaf theory, an…
Non-commutative crepant resolutions for (almost) simplicial toric algebras
Aimeric Malter, Artan Sheshmani
Given a rational convex polyhedral Gorenstein cone constructed as cone over a lattice polytope P, we establish that toric non-commutative crepant resolutions (NCCRs) of its associa…
Sheaf stable pairs on projective surfaces and birational geometry
Caucher Birkar, Jia Jia, Artan Sheshmani +1
We study moduli space of higher rank marginally stable pairs (E,s:= (s_1,..., s_r)) consisting of torsion free coherent sheaf E of rank r and r sections (s_1,..., s_r) on a smooth…