Poisson brackets of partitions of unity on surfaces

Author(s): Buhovsky, Lev; Logunov, Aleksandr; Tanny, Shira

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DC Field	Value	Language
dc.contributor.author	Buhovsky, Lev	-
dc.contributor.author	Logunov, Aleksandr	-
dc.contributor.author	Tanny, Shira	-
dc.date.accessioned	2023-12-27T20:43:33Z	-
dc.date.available	2023-12-27T20:43:33Z	-
dc.date.issued	2020	en_US
dc.identifier.citation	Buhovsky, Lev, Logunov, Alexander, Tanny, Shira. (2020). Poisson brackets of partitions of unity on surfaces. COMMENTARII MATHEMATICI HELVETICI, 95 (247 - 278. doi:10.4171/CMH/487	en_US
dc.identifier.issn	0010-2571	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1rr1pm7b	-
dc.description.abstract	Given an open cover of a closed symplectic manifold, consider all smooth partitions of unity consisting of functions supported in the covering sets. The Poisson bracket invariant of the cover measures how much the functions from such a partition of unity can become close to being Poisson commuting. We introduce a new approach to this invariant, which enables us to prove the lower bound conjectured by L. Polterovich, in dimension 2.	en_US
dc.format.extent	247 - 278	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	COMMENTARII MATHEMATICI HELVETICI	en_US
dc.rights	Author's manuscript	en_US
dc.title	Poisson brackets of partitions of unity on surfaces	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.4171/CMH/487	-
dc.date.eissued	2020-06-16	en_US
dc.identifier.eissn	1420-8946	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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