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March 2021 Fukaya $A_\infty$-structures associated to Lefschetz fibrations. III
Paul Seidel
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J. Differential Geom. 117(3): 485-589 (March 2021). DOI: 10.4310/jdg/1615487005

Abstract

Floer cohomology groups are usually defined over a field of formal functions (a Novikov field). Under certain assumptions, one can equip them with connections, which means operations of differentiation with respect to the Novikov variable. This allows one to write differential equations for Floer cohomology classes. Here, we apply that idea to symplectic cohomology groups associated to Lefschetz fibrations, and establish a relation with enumerative geometry.

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Paul Seidel. "Fukaya $A_\infty$-structures associated to Lefschetz fibrations. III." J. Differential Geom. 117 (3) 485 - 589, March 2021. https://doi.org/10.4310/jdg/1615487005

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Received: 22 January 2018; Published: March 2021
First available in Project Euclid: 11 March 2021

Digital Object Identifier: 10.4310/jdg/1615487005

Rights: Copyright © 2021 Lehigh University

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Vol.117 • No. 3 • March 2021
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