Arxived article on DT invariants

Artan Sheshmani presents a new result with his collaborator on arXiv

2019.09.09 | Jane Jamshidi

Associate Professor Artan Sheshmani has jointly with his international collaborator Amin Gholampour submitted a new result on arXiv entitled "Donaldson-Thomas invariants, linear systems and punctual Hilbert schemes".

Here they 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 the canonical bundle of the threefold satisfies certain positivity conditions, they relate the DT invariants to Carlsson-Okounkov formulas for the "twisted Euler's number" of the punctual Hilbert schemes of nonsingular surfaces, and conclude they have a modular property.