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Mayer-Vietoris sequence for symplectic cohomology

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Yuhan Sun
Imperial College, London (UK)
Tue, 14/11/2023 - 13:30 - 14:30
MPIM Lecture Hall

For a Liouville manifold and a pair of Liouville subdomains intersecting nicely, we prove a Mayer-Vietoris exact sequence relating the symplectic cohomology groups of the Liouville subdomains, their intersection and their union. This generalizes Cieliebak-Oancea's previous work on filled Liouville cobordisms. The proof uses an invariant called relative symplectic cohomology over integers. Joint work with U. Varolgunes.

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