The Quantum $A_{\infty}$-Relations on the Elliptic Curve
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2017
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| _version_ | 1866910506624745472 |
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| author | Slawinski, Michael |
| author_facet | Slawinski, Michael |
| contents | We define and prove the existence of the Quantum $A_{\infty}$-relations on the Fukaya category of the elliptic curve, using the notion of the Feynman transform of a modular operad, as defined by Getzler and Kapranov. Following Barannikov, these relations may be viewed as defining a solution to the quantum master equation of Batalin-Vilkovisky geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1711_07940 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | The Quantum $A_{\infty}$-Relations on the Elliptic Curve Slawinski, Michael Algebraic Geometry 53D37 (Primary), 53D45 (Secondary) We define and prove the existence of the Quantum $A_{\infty}$-relations on the Fukaya category of the elliptic curve, using the notion of the Feynman transform of a modular operad, as defined by Getzler and Kapranov. Following Barannikov, these relations may be viewed as defining a solution to the quantum master equation of Batalin-Vilkovisky geometry. |
| title | The Quantum $A_{\infty}$-Relations on the Elliptic Curve |
| topic | Algebraic Geometry 53D37 (Primary), 53D45 (Secondary) |
| url | https://arxiv.org/abs/1711.07940 |