BPS states, Donaldson-Thomas invariants and the Hitchin system

BPS states, Donaldson-Thomas invariants and the Hitchin system

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Emanuel Diaconescu, Rutgers University
417 Mathematics Hall, Columbia

This talk will report on joint work with Wu-yen Chuang and Guang Pan relating the cohomology of the Hitchin system to Donaldson-Thomas theory and BPS inavariants of Calabi-Yau threefolds. A string-theoretic construction will be presented which relates refined curve-counting invariants to the work of Hausel and Rodriguez-Villegas on character varieties.