BCOV theory via Givental group action on cohomological field theories

@article{Shadrin2008BCOVTV,
  title={BCOV theory via Givental group action on cohomological field theories},
  author={Sergey Viktorovich Shadrin},
  journal={Moscow Mathematical Journal},
  year={2008},
  volume={9},
  pages={411-429}
}
  • S. Shadrin
  • Published 3 October 2008
  • Mathematics
  • Moscow Mathematical Journal
In a previous paper, Losev, the author, 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… 
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