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Group quantum cohomology Mizerski, Maciej
Abstract
Given a finite group G acting on a smooth projective variety X, there exists a G -algebra qA*(X,G) whose structure constants are defined by integrals over moduli spaces of G-equivariant stable maps of Jarvis-Kaufmann-Kimura. It is a deformation of the Fantechi-Göttsche group cohomology, and its invariant part qA*(X,G)G is canonically isomorphic to the Abramovich-Graber-Vistoli orbifold quantum cohomology of the quotient stack [X/G]. We provide the technology to study the associativity of the above algebra, and we prove it for some special cases.
Item Metadata
| Title |
Group quantum cohomology
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2007
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| Description |
Given a finite group G acting on a smooth projective variety X, there exists a G -algebra qA*(X,G) whose structure constants are defined by integrals over moduli spaces of G-equivariant stable maps of Jarvis-Kaufmann-Kimura. It is a deformation of the Fantechi-Göttsche group cohomology, and its invariant part qA*(X,G)G is canonically isomorphic to the Abramovich-Graber-Vistoli orbifold quantum cohomology of the quotient stack [X/G]. We provide the technology to study the associativity of the above algebra, and we prove it for some special cases.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-02-17
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0080431
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.