Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs

Published 23 Apr 2010 in math.AG and hep-th | (1004.4195v4)

Abstract: A conjectural recursive relation for the Poincar\'e 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.

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