Local B-model and Mixed Hodge Structure

Details Local B-model and Mixed Hodge Structure Local B-model and Mixed Hodge Structure

2009-07-23

arxiv.org/abs/0907.4108v3

Mathematics

Algebraic Geometry

39 pages, 2 figures; v2: typos corrected; v3: added references

Scientific paper

We study the mixed Hodge theoretic aspects of the B-model side of local
mirror symmetry. Our main objectives are to define an analogue of the Yukawa
coupling in terms of the variations of the mixed Hodge structures and to study
its properties. We also describe a local version of
Bershadsky-Cecotti-Ooguri-Vafa's holomorphic anomaly equation.

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