Bounds on the Lagrangian spectral metric in cotangent bundles
dc.contributor.author
Biran, Paul
dc.contributor.author
Cornea, Octav
dc.date.accessioned
2022-04-26T11:01:28Z
dc.date.available
2022-01-30T03:40:30Z
dc.date.available
2022-04-26T11:01:28Z
dc.date.issued
2021
dc.identifier.issn
0010-2571
dc.identifier.issn
1420-8946
dc.identifier.other
10.4171/CMH/522
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/529747
dc.description.abstract
Let N be a closed manifold and U subset of T* (N) a bounded domain in the cotangent bundle of N, containing the zero-section. A conjecture due to Viterbo asserts that the spectral metric for Lagrangian submanifolds in U that are exact-isotopic to the zero-section is bounded. In this paper we establish an upper bound on the spectral distance between two such Lagrangians L-0, L-1, which depends linearly on the boundary depth of the Floer complexes of (L-0, F) and (L-1, F), where F is a fiber of the cotangent bundle.
en_US
dc.language.iso
en
en_US
dc.publisher
European Mathematical Society
en_US
dc.subject
Symplectic manifolds
en_US
dc.subject
Lagrangian submanifolds
en_US
dc.subject
spectral metric
en_US
dc.subject
Floer theory
en_US
dc.subject
spectral invariants
en_US
dc.subject
Lefschetz fibrations
en_US
dc.title
Bounds on the Lagrangian spectral metric in cotangent bundles
en_US
dc.type
Journal Article
dc.date.published
2022-01-18
ethz.journal.title
Commentarii Mathematici Helvetici
ethz.journal.volume
96
en_US
ethz.journal.issue
4
en_US
ethz.journal.abbreviated
Comment. Math. Helv.
ethz.pages.start
631
en_US
ethz.pages.end
691
en_US
ethz.identifier.wos
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.date.deposited
2022-01-30T03:41:20Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2022-04-26T11:01:45Z
ethz.rosetta.lastUpdated
2024-02-02T16:45:20Z
ethz.rosetta.versionExported
true
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Journal Article [133640]