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September 2020 Mixed Frobenius structure and the local A-model
Yukiko Konishi, Satoshi Minabe
Kyoto J. Math. 60(3): 997-1032 (September 2020). DOI: 10.1215/21562261-2019-0053

Abstract

We define the notion of mixed Frobenius structure (MFS) which is a generalization of the structure of a Frobenius manifold. We construct an MFS 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. "Mixed Frobenius structure and the local A-model." Kyoto J. Math. 60 (3) 997 - 1032, September 2020. https://doi.org/10.1215/21562261-2019-0053

Information

Received: 10 January 2017; Revised: 8 February 2018; Accepted: 15 February 2018; Published: September 2020
First available in Project Euclid: 12 August 2020

MathSciNet: MR4134356
Digital Object Identifier: 10.1215/21562261-2019-0053

Subjects:
Primary: 53D45
Secondary: 14N35

Rights: Copyright © 2020 Kyoto University

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Vol.60 • No. 3 • September 2020
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