Mixed trTLEP-structures and mixed Frobenius structures

Shamoto, Y

Shamoto, Y (reprint author), Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan.

ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2017; 21 (4): 977

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 H-2-generation condition gives rise to a family of mixed Frobenius manifolds. It implies that there exist mixed Frobenius manifolds associated to local B-models.

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