Virtual invariants of Quot schemes of surfaces

Abstract: The Quot schemes of surfaces parametrizing quotients of dimension at most 1 of the trivial sheaf carry 2-term perfect obstruction theories. Several generating series of associated virtual invariants are conjectured to be given by rational functions. We show this is the case for several geometries including all smooth projective surfaces with p_g>0. This talk is based on joint work with Noah Arbesfeld, Drew Johnson, Woonam Lim and Rahul Pandharipande.

algebraic geometry

Audience: researchers in the topic

UBC Vancouver Algebraic Geometry Seminar

Series comments: Recordings and slides are available on the seminar webpage:

wiki.math.ubc.ca/mathbook/alggeom-seminar/Main_Page