15 citations · 68 across the 44 of their papers we have counts for
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Hilbert Schemes, Donaldson-Thomas Theory, Vafa-Witten and Seiberg Witten theories
Artan Sheshmani
This article provides a summary of arXiv:1701.08899 and arXiv:1701.08902 where the authors studied the enumerative geometry of nested Hilbert schemes of points and curves on algebr…
Super -holomorphic Curves: Construction of the Moduli Space
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
Let be a super Riemann surface with holomorphic distribution and a symplectic manifold with compatible almost complex structure . We call a map $Φ\colon M\…
Higher rank flag sheaves on Surfaces and Vafa-Witten invariants
Artan Sheshmani, Shing-Tung Yau
We study moduli space of holomorphic triples , composed of torsion-free sheaves and a holomorphic mophism between them, over a smooth compl…
Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes
Amin Gholampour, Artan Sheshmani
We study certain DT invariants arising from stable coherent sheaves in a nonsingular projective threefold supported on the members of a linear system of a fixed line bundle. When t…
Shifted symplectic structures on derived Quot-stacks I: Differential graded manifolds
Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani
A theory of dg schemes is developed so that it becomes a homotopy site, and the corresponding infinity category of stacks is equivalent to the infinity category of stacks, as const…
Strictification and gluing of Lagrangian distributions on derived schemes with shifted symplectic forms
Dennis Borisov, Ludmil Katzarkov, Artan Sheshmani +1
A strictification result is proved for isotropic distributions on derived schemes equipped with negatively shifted homotopically closed -forms. It is shown that any derived sche…