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arXiv:1608.04012math.SG

Fukaya A_\infty-structures associated to Lefschetz fibrations. III

Paul Seidel

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 obtain a relation with enumerative geometry.

arXiv comments
v2: added a section describing the relation with equivariant symplectic cohomology; v3: typos removed, very minor expository changes; v4: even less typos
Journal reference
DOI
Subjects
math.SGSymplectic Geometry

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  1. Show HN: Arxiv Vanity – Read academic papers from Arxiv as responsive web pages 3 comments

    • Unfortunately it's failing on first things I tried with a not-so-helpful error message: https://www.arxiv-vanity.com/papers/1608.04012/ https://www.arxiv-vanity.com/papers/0903.3065/ Also a lot of MathJax failures (maybe Latex variables names?)…

      dbranesView on HNParent context

    • Those problems are normally Pandoc parsing errors. Considering it's open source, perhaps we should print the error message so people can actually help fix it... The MathJax failures are either things that MathJax doesn't support, or use of \DeclareMathOperator which we haven't…

      bfirshView on HNParent context

    • When the render fails, why are you redirecting to the pdf file intead of redirecting to the abstract? E.g. here (link stolen from another comment in this page) https://www.arxiv-vanity.com/papers/1608.04012/

      mastaziView on HNParent context

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