A group action on Losev-Manin cohomological field theories
| Authors |
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| Publication date |
2011
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| Journal |
Annales de l'Institut Fourier
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| Volume | Issue number |
61 | 7
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| Pages (from-to) |
2719-2743
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
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.
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| Document type |
Article
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| Language |
English
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| Published at |
http://aif.cedram.org/aif-bin/item?id=AIF_2011__61_7_2719_0
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