Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs

Details Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs

2010-04-23

arxiv.org/abs/1004.4195v4

Commun. Numb. Th. Phys. 5 (2011) 1-56

Mathematics

Algebraic Geometry

39 pages; v2: minor changes and references added; v3,v4: some changes in presentation and minor corrections; results unchanged

Scientific paper

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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