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- W4309968574 abstract "We introduce a type of surgery decomposition of Weinstein manifolds we call simplicial decompositions. The main result of this paper is that the Chekanov-Eliashberg dg-algebra of the attaching spheres of a Weinstein manifold satisfies a descent (cosheaf) property with respect to a simplicial decomposition. Simplicial decompositions generalize the notion of Weinstein connected sum and we show that there is a one-to-one correspondence (up to Weinstein homotopy) between simplicial decompositions and so-called good sectorial covers. As an application we explicitly compute the Chekanov-Eliashberg dg-algebra of the Legendrian attaching spheres of a plumbing of copies of cotangent bundles of spheres of dimension at least three according to any plumbing quiver. We show by explicit computation that this Chekanov-Eliashberg dg-algebra is quasi-isomorphic to the Ginzburg dg-algebra of the plumbing quiver." @default.
- W4309968574 created "2022-11-30" @default.
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- W4309968574 date "2021-12-03" @default.
- W4309968574 modified "2023-10-16" @default.
- W4309968574 title "Simplicial descent for Chekanov-Eliashberg dg-algebras" @default.
- W4309968574 doi "https://doi.org/10.48550/arxiv.2112.01915" @default.
- W4309968574 hasPublicationYear "2021" @default.
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