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Autor principal: Shadrin, S.
Formato: Preprint
Publicado em: 2008
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Acesso em linha:https://arxiv.org/abs/0810.0725
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author Shadrin, S.
author_facet Shadrin, S.
contents In a previous paper (arXiv:0704.1001), Losev, me, and Shneiberg constructed a full descendant potential associated to an arbitrary cyclic Hodge dGBV algebra. This contruction extended the construction of Barannikov and Kontsevich of solution of the WDVV equation, based on the earlier paper of Bershadsky, Cecotti, Ooguri, and Vafa. In the present paper, we give an interpretation of this full descendant potential in terms of Givental group action on cohomological field theories. In particular, the fact that it satisfies all tautological equations becomes a trivial observation.
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publishDate 2008
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spellingShingle BCOV theory via Givental group action on cohomological field theories
Shadrin, S.
Algebraic Geometry
In a previous paper (arXiv:0704.1001), Losev, me, and Shneiberg constructed a full descendant potential associated to an arbitrary cyclic Hodge dGBV algebra. This contruction extended the construction of Barannikov and Kontsevich of solution of the WDVV equation, based on the earlier paper of Bershadsky, Cecotti, Ooguri, and Vafa. In the present paper, we give an interpretation of this full descendant potential in terms of Givental group action on cohomological field theories. In particular, the fact that it satisfies all tautological equations becomes a trivial observation.
title BCOV theory via Givental group action on cohomological field theories
topic Algebraic Geometry
url https://arxiv.org/abs/0810.0725