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arXiv · 1512.08885

Mixed trTLEP-structures and mixed Frobenius structures

Yota Shamoto
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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 $H^2$-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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Yota Shamoto. 2015-12-30. Mixed trTLEP-structures and mixed Frobenius structures. https://doi.org/10.4310/atmp.2017.v21.n4.a4

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