Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs

Duiliu-Emanuel Diaconescu; Guang Pan; Wu-yen Chuang

Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs

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arxiv 1004.4195 v4 pith:WIWUXBIP submitted 2010-04-23 math.AG hep-th

Wallcrossing and Cohomology of The Moduli Space of Hitchin Pairs

Wu-yen Chuang , Duiliu-Emanuel Diaconescu , Guang Pan This is my paper

classification math.AG hep-th

keywords modulispacehitchinpolynomialrefinedtheorywallcrossingcohomology

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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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