Wallcrossing and cohomology of the moduli space of Hitchin pairs
Resource
Communications in Number Theory and Physics, 5(1), 1-56
Journal
Communications in Number Theory and Physics
Journal Volume
5
Journal Issue
1
Pages
1-56
Date Issued
2011
Author(s)
Abstract
A conjectural recursive relation for the Poincar polynomial of the Hitchin moduli space is derived from wallcrossing in the refined local Donaldson-Thomas theory of a curve. A doubly refined generalization of this theory is also conjectured and shown to similarly determine the Hodge polynomial of the same moduli space.
Type
journal article