Mixed trTLEP-structures and mixed Frobenius structures

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Abstract

We introduce the notion of mixed trTLEP-structures and prove that a mixed trTLEP-structure with some conditions naturally induces a mixed Frobenius manifold. This is a generalization of the reconstruction theorem of Hertling and Manin. As a special case, we also show that a graded polarizable variation of mixed Hodge structure with H2-generation condition gives rise to a family of mixed Frobenius manifolds. It implies that there exist mixed Frobenius manifolds associated to local B-models.

Original languageEnglish
Pages (from-to)977-1021
Number of pages45
JournalAdvances in Theoretical and Mathematical Physics
Volume21
Issue number4
DOIs
Publication statusPublished - 2017
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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