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The local Gromov-Witten invariants of configurations of rational curves Karp, Dagan
Abstract
We compute the local Gromov-Witten invariants of certain configurations of rational curves in a Calabi-Yau threefold. We first transform this from a problem involving local Gromov-Witten invariants to one involving global or ordinary invariants. We do so by expressing the local invariants of a configuration of curves in terms of ordinary Gromov-Witten invariants of a blowup of CP3 at points. The Gromov- Witten invariants of a blowup of CP3 along points have a symmetry, which arises from the geometry of the Cremona transformation, and transforms some difficult to compute invariants into others that are less difficult or already known. This symmetry is then used to compute the global invariants.
Item Metadata
| Title |
The local Gromov-Witten invariants of configurations of rational curves
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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 local Gromov-Witten invariants of certain configurations of rational
curves in a Calabi-Yau threefold. We first transform this from a problem involving
local Gromov-Witten invariants to one involving global or ordinary invariants. We
do so by expressing the local invariants of a configuration of curves in terms of
ordinary Gromov-Witten invariants of a blowup of CP3 at points. The Gromov-
Witten invariants of a blowup of CP3 along points have a symmetry, which arises
from the geometry of the Cremona transformation, and transforms some difficult
to compute invariants into others that are less difficult or already known. This
symmetry is then used to compute the global invariants.
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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 |
10.14288/1.0080056
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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.