4 papers
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…
Atiyah class and sheaf counting on local Calabi Yau fourfolds
Duiliu-Emanuel Diaconescu, Artan Sheshmani, Shing-Tung Yau
We discuss Donaldson-Thomas (DT) invariants of torsion sheaves with 2 dimensional support on a smooth projective surface in an ambient non-compact Calabi Yau fourfold given by the…
Stacky GKM Graphs and Orbifold Gromov-Witten Theory
Chiu-Chu Melissa Liu, Artan Sheshmani
A smooth GKM stack is a smooth Deligne-Mumford stack equipped with an action of an algebraic torus , with only finitely many zero-dimensional and one-dimensional orbits. (i) We…
An introduction to the theory of Higher rank stable pairs and Virtual localization
Artan Sheshmani
This article is an attempt to briefly introduce some of the results from arXiv:1011.6342 on development of a higher rank analog of the Pandharipande-Thomas theory of stable pairs o…