Metadata only
Datum
2021Typ
- Journal Article
ETH Bibliographie
yes
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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. Mehr anzeigen
Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Commentarii Mathematici HelveticiBand
Seiten / Artikelnummer
Verlag
European Mathematical SocietyThema
Symplectic manifolds; Lagrangian submanifolds; spectral metric; Floer theory; spectral invariants; Lefschetz fibrationsETH Bibliographie
yes
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