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DT/PT correspondence for Calabi-Yau 4-folds Kool, Martijn
Description
Hilbert schemes and stable pair moduli spaces on compact Calabi-Yau 4-folds have a virtual class, which was constructed in special cases by Cao-Leung and in general by Borisov-Joyce. We conjecture a DT/PT correspondence for the resulting invariants. On toric Calabi-Yau fourfolds, we conjecture a K-theoretic enhancement of this correspondence using invariants which were recently discovered in the case of Hilbert schemes of points by Nekrasov. Using dimensional reduction, we recover Nekrasov-Okounkov's K-theoretic DT/PT correspondence for toric threefolds. Joint work with Y. Cao and S. Monavari.
Item Metadata
| Title |
DT/PT correspondence for Calabi-Yau 4-folds
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-11-20T10:47
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| Description |
Hilbert schemes and stable pair moduli spaces on compact Calabi-Yau 4-folds have a virtual class, which was constructed in special cases by Cao-Leung and in general by Borisov-Joyce. We conjecture a DT/PT correspondence for the resulting invariants. On toric Calabi-Yau fourfolds, we conjecture a K-theoretic enhancement of this correspondence using invariants which were recently discovered in the case of Hilbert schemes of points by Nekrasov. Using dimensional reduction, we recover Nekrasov-Okounkov's K-theoretic DT/PT correspondence for toric threefolds. Joint work with Y. Cao and S. Monavari.
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| Extent |
61.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Universiteit Utrecht
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| Series | |
| Date Available |
2020-05-19
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0390910
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Researcher
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International