• Corpus ID: 203626934

# Geometric and algebraic presentations of Weinstein domains

@article{Lazarev2019GeometricAA,
title={Geometric and algebraic presentations of Weinstein domains},
author={Oleg Lazarev},
journal={arXiv: Symplectic Geometry},
year={2019}
}
• Oleg Lazarev
• Published 2 October 2019
• Mathematics
• arXiv: Symplectic Geometry
We prove that geometric intersections between Weinstein handles induce algebraic relations in the wrapped Fukaya category, which we use to study the Grothendieck group. We produce a surjective map from middle-dimensional singular cohomology to the Grothendieck group, show that the geometric acceleration map to symplectic cohomology factors through the categorical Dennis trace map, and introduce a Viterbo functor for $C^0$-close Weinstein hypersurfaces, which gives an obstruction for Legendrians…
6 Citations

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