Refined second Stiefel-Whitney classes and their applications in Donaldson-Thomas theory

14 November 2017
15:45
Sven Meinhardt
Abstract

I will introduce a cohomology theory which combines topological and algebraic concepts. Interpretations of certain cohomology groups will be given. We also generalise the construction of the second Stiefel-Whitney class of a line bundle. As I will explain in my talk, the refined Stiefel-Whitney class of the canonical bundle on certain moduli stacks provides an obstruction for the construction of cohomological Hall algebras.

  • Algebraic Geometry Seminar