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Thursday 27 January 2011, 15:30-16:30
On the Calculus underlying Donaldson-Thomas theory
â ī¸ Important: Moduli Spaces
- đ¤ Speaker: Behrend, KB (University of British Columbia)
- đ Date & Time: Thursday 27 January 2011, 15:30 - 16:30
- đ Venue: Seminar Room 1, Newton Institute
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Mustapha Amrani
Abstract
On a manifold there is the graded algebra of polyvector fields with its Lie-Schouten bracket, and the module of de Rham differentials with exteriour differentiation. This package is called a “calculus”. The moduli space of sheaves (or derived category objects) on a Calabi-Yau threefold has a kind of “virtual calculus” on it. In particular, this moduli space has virtual de Rham cohomology groups, which categorify Donaldson-Thomas invariants, at least conjecturally. We describe some attempts at constructing such a virtual calculus. This is work in progress.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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