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arXiv · 1209.5550

Mixed Frobenius Structure and Local A-model

Yukiko Konishi·Satoshi Minabe
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Abstract

We define the notion of mixed Frobenius structure which is a generalization of the structure of a Frobenius manifold. We construct a mixed Frobenius structure on the cohomology of weak Fano toric surfaces and that of the three dimensional projective space using local Gromov-Witten invariants. This is an analogue of the Frobenius manifold associated to the quantum cohomology in the local Calabi-Yau setting.

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Yukiko Konishi, Satoshi Minabe. 2012-09-25. Mixed Frobenius Structure and Local A-model. https://doi.org/10.1215/21562261-2019-0053

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