Jiahui Huang, Department of Pure Mathematics, University of Waterloo
"Equivariant invariants for Quot schemes"
Deformation invariants on Quot schemes such as Donaldson-Thomas invariants are useful tools for studying the cohomology of moduli spaces. Equivariant versions of such invariants are obtained by integrating characteristic class of tautological bundles, over Quot schemes of quotients of a rank $N$ bundle on $\mathbb{C}^n$ for $n=2,3,4$. The $n=4$ case has been the subject of recent activity in relation to string theory and the DT/PT conjecture for Calabi-Yau 4-folds. This talk will demonstrate how integrations on Quot schemes are performed via equivariant localization and their connections to the usual invariants for compact manifolds.
MC 5417