Frobenius manifolds near the discriminant and relations in the tautological ring

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Abstract

We give a criterion for extending a generically semisimple (not necessarily conformal) Frobenius manifold locally near a smooth point of the discriminant to a cohomological field theory. As an application, we show that a large set of tautological relations related to the Givental–Teleman classification for any generically semisimple cohomological field theories follow from Pixton’s generalized Faber–Zagier relations.

Original languageEnglish (US)
Pages (from-to)1649-1675
Number of pages27
JournalLetters in Mathematical Physics
Volume108
Issue number7
DOIs
StatePublished - Jul 1 2018
Externally publishedYes

Keywords

  • Cohomological field theories
  • Discriminant
  • Frobenius manifolds
  • Tautological ring

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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