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Local systems and vanishing Maslov class

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arxiv 2410.01586 v2 pith:S2RHUYTJ submitted 2024-10-02 math.SG

classification math.SG
keywords classmaslovvanishingclosedproofbundlescotangentdomains
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It is well known that closed exact Lagrangians in cotangent bundles of closed manifolds have vanishing Maslov class and are homotopy equivalent to the zero section. In this paper we greatly simplify the proof of vanishing Maslov class and generalize the proof to a slightly larger family of Weinstein domains.

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  1. Simple homotopy theory for Fukaya categories

    math.SG 2025-09 conditional novelty 8.0 of 10

    Isomorphisms in the Fukaya category of a Weinstein manifold with vanishing first Chern class automatically have trivial Whitehead torsion, so isomorphic Lagrangians are simple homotopy equivalent.

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