A group action on Losev-Manin cohomological field theories
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2009
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| _version_ | 1866909230684962816 |
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| author | Shadrin, Sergey Zvonkine, Dimitri |
| author_facet | Shadrin, Sergey Zvonkine, Dimitri |
| contents | We discuss an analog of the Givental group action for the space of solutions of the commutativity equation. There are equivalent formulations in terms of cohomology classes on the Losev-Manin compactifications of genus 0 moduli spaces; in terms of linear algebra in the space of Laurent series; in terms of differential operators acting on Gromov-Witten potentials; and in terms of multi-component KP tau-functions. The last approach is equivalent to the Losev-Polyubin classification that was obtained via dressing transformations technique. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0909_0800 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | A group action on Losev-Manin cohomological field theories Shadrin, Sergey Zvonkine, Dimitri Algebraic Geometry Quantum Algebra We discuss an analog of the Givental group action for the space of solutions of the commutativity equation. There are equivalent formulations in terms of cohomology classes on the Losev-Manin compactifications of genus 0 moduli spaces; in terms of linear algebra in the space of Laurent series; in terms of differential operators acting on Gromov-Witten potentials; and in terms of multi-component KP tau-functions. The last approach is equivalent to the Losev-Polyubin classification that was obtained via dressing transformations technique. |
| title | A group action on Losev-Manin cohomological field theories |
| topic | Algebraic Geometry Quantum Algebra |
| url | https://arxiv.org/abs/0909.0800 |