Constructing the virtual fundamental cycle
Duration: 60 mins
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| Description: |
McDuff, D
Thursday 17th August 2017 - 15:30 to 16:30 |
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| Created: | 2017-08-18 09:00 |
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| Collection: | Symplectic geometry - celebrating the work of Simon Donaldson |
| Publisher: | Isaac Newton Institute |
| Copyright: | McDuff, D |
| Language: | eng (English) |
| Abstract: | Consider a space XX, such as a compact space of JJ-holomorphic stable maps with closed domain, that is the zero set of a Fredholm operator. This note explains how to define the virtual fundamental class of XX starting from a finite dimensional reduction in the form of a Kuranishi atlas, by representing XX as the zero set of a section of a (topological) orbibundle that is constructed from the atlas. Throughout we assume that the atlas satisfies Pardon's topological version of the index condition that can be obtained from a standard, rather than a smooth, gluing theorem. |
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