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Gluing Periods for DHT Mirrors Doran, Charles
Description
Let X be a Calabiâ Yau manifold that admits a Tyurin degeneration to a union of two quasi-Fano varieties X1 and X2 intersecting along a smooth anticanonical divisor D. The â DHT mirror symmetry conjectureâ implies that the Landauâ Ginzburg mirrors of (X1,D) and (X2,D) can be glued to obtain the mirror of X. Initial motivation came from considering the bounded derived categories of X, X1, and X2 and symplectomorphisms on the Landau-Ginzburg models mirror to (X1,D) and (X2,D). In this talk, flipping the roles of the two categories, I will explain how periods on the Landau-Ginzburg mirrors of (X1,D) and (X2,D) are related to periods on the mirror of X. The relation among periods relates different Gromov-Witten invariants via their respective mirror maps. This is joint work with Fenglong You and Jordan Kostiuk.
Item Metadata
Title |
Gluing Periods for DHT Mirrors
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-11-12T09:02
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Description |
Let X be a Calabiâ Yau manifold that admits a Tyurin degeneration to a union of two quasi-Fano varieties X1 and X2 intersecting along a smooth anticanonical divisor D. The â DHT mirror symmetry conjectureâ implies that the Landauâ Ginzburg mirrors of (X1,D) and (X2,D) can be glued to obtain the mirror of X. Initial motivation came from considering the bounded derived categories of X, X1, and X2 and symplectomorphisms on the Landau-Ginzburg models mirror to (X1,D) and (X2,D). In this talk, flipping the roles of the two categories, I will explain how periods on the Landau-Ginzburg mirrors of (X1,D) and (X2,D) are related to periods on the mirror of X. The relation among periods relates different Gromov-Witten invariants via their respective mirror maps. This is joint work with Fenglong You and Jordan Kostiuk.
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Extent |
60.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Alberta
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Series | |
Date Available |
2020-05-11
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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 |
10.14288/1.0390445
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International