Mixed trTLEP-structures and mixed Frobenius structures

作者:Shamoto Yota*
来源:Advances in Theoretical and Mathematical Physics, 2017, 21(4): 977-1021.
DOI:10.4310/atmp.2017.v21.n4.a4

摘要

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.

  • 出版日期2017

全文