On the Calculus underlying Donaldson-Thomas theory
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| Description: |
Behrend, KB (University of British Columbia)
Thursday 27 January 2011, 15:30-16:30 |
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| Created: | 2011-01-31 09:46 | ||||
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| Collection: | Moduli Spaces | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Behrend, KB | ||||
| Language: | eng (English) | ||||
| Credits: |
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| 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. |
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