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Towards the equivariant cohomology ring of moduli spaces of stable maps into Grassmannians Tschirschwitz, Boris
Abstract
We compute the equivariant hypercohomology of the Koszul complex associated to an equivariant vector field. This hypercohomology is conjectured to be the equivariant cohomology ring of the moduli space M[sub 0,0] (Gr[sub k]C[sup n], 3) of stable maps of degree 3 from genus zero prestable curves into Grassmannians. Our methods are based on the localization methods of E. Alkildis, M . Brion, J.B. Carrell and D.I. Lieberman. This thesis is an extension of the work by K. Behrend and A. O'Halloran on stable maps into projective spaces.
Item Metadata
| Title |
Towards the equivariant cohomology ring of moduli spaces of stable maps into Grassmannians
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2005
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| Description |
We compute the equivariant hypercohomology of the Koszul complex associated
to an equivariant vector field. This hypercohomology is conjectured to be the
equivariant cohomology ring of the moduli space M[sub 0,0] (Gr[sub k]C[sup n], 3) of stable maps of
degree 3 from genus zero prestable curves into Grassmannians.
Our methods are based on the localization methods of E. Alkildis, M . Brion, J.B.
Carrell and D.I. Lieberman.
This thesis is an extension of the work by K. Behrend and A. O'Halloran on stable
maps into projective spaces.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2009-12-21
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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 |
10.14288/1.0080064
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2005-05
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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.