A-model implications of extended mirror symmetry
Associativity of the quantum product ensures flatness of the Dubrovin connection and is the basis for Hodge-theoretic mirror symmetry of Calabi-Yau threefolds. We use ring and module structure on cohomology pertaining to a Lagrangian submanifold to define an extension of the A-model Variation of mix...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
21 Jan 2022
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| In: |
Arxiv
Year: 2022, Pages: 1-35 |
| DOI: | 10.48550/arXiv.2201.08745 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2201.08745 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2201.08745 
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| Author Notes: | Lukas Hahn and Johannes Walcher |
| Summary: | Associativity of the quantum product ensures flatness of the Dubrovin connection and is the basis for Hodge-theoretic mirror symmetry of Calabi-Yau threefolds. We use ring and module structure on cohomology pertaining to a Lagrangian submanifold to define an extension of the A-model Variation of mixed Hodge structure that matches the predictions from extended mirror symmetry. Our construction makes contact with axioms for open Gromov-Witten theory recently proposed by Solomon-Tukachinsky. |
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| Item Description: | Gesehen am 12.10.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.2201.08745 |