Weak Relative Calabi-Yau Structures for Legendrian Contact Homology
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918134434234368 |
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| author | Ma, Jiajie Sabloff, Joshua M. |
| author_facet | Ma, Jiajie Sabloff, Joshua M. |
| contents | Legendrian Contact Homology (LCH) and its augmentations are important invariants of Legendrian submanifolds, and for Legendrian knots in the standard contact 3-space in particular. We increase understanding of the algebraic structure of LCH by generalizing the duality isomorphism and long exact sequence for linearized LCH for Legendrian knots to a weak relative Calabi-Yau structure for $A_\infty$ bimodules over the positive augmentation category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02485 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak Relative Calabi-Yau Structures for Legendrian Contact Homology Ma, Jiajie Sabloff, Joshua M. Symplectic Geometry 53D42, 53D37, 57K10, 57K33 Legendrian Contact Homology (LCH) and its augmentations are important invariants of Legendrian submanifolds, and for Legendrian knots in the standard contact 3-space in particular. We increase understanding of the algebraic structure of LCH by generalizing the duality isomorphism and long exact sequence for linearized LCH for Legendrian knots to a weak relative Calabi-Yau structure for $A_\infty$ bimodules over the positive augmentation category. |
| title | Weak Relative Calabi-Yau Structures for Legendrian Contact Homology |
| topic | Symplectic Geometry 53D42, 53D37, 57K10, 57K33 |
| url | https://arxiv.org/abs/2509.02485 |