A note on the Lagrangian cobordism group of Weinstein sectors

Valentin Bosshard

A note on the Lagrangian cobordism group of Weinstein sectors

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arxiv 2308.14394 v1 pith:2ELYAYBP submitted 2023-08-28 math.SG

Valentin Bosshard This is my paper · ORCID

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The aim of this note is to show that the Lagrangian cobordism group of a Weinstein sector is isomorphic to its middle-dimensional singular cohomology. As an application, a geometric description of Viterbo restriction for cobordism groups is obtained.

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Fourier transforms and a filtration on the Lagrangian cobordism group of tori
math.SG 2024-11 conditional novelty 6.0 of 10

For polarized tropical affine tori, the fibered Lagrangian cobordism group carries a parallelotope filtration that vanishes after n+1 steps, and the associated symplectic Fourier transform mirrors Mukai's transform.

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