Hofer's geometry and Floer theory under the quantum limit

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dc.creatorKerman, Ely
dc.date2007-03-02
dc.date2007-10-04
dc.date.accessioned2026-07-07T08:34:02Z
dc.date.available2026-07-07T08:34:02Z
dc.descriptionIn this paper, we use Floer theory to study the Hofer length functional for paths of Hamiltonian diffeomorphisms which are sufficiently short. In particular, the length minimizing properties of a short Hamiltonian path are related to the properties and number of its periodic orbits.
dc.descriptionThis is major revision. Section 2 has been completely reworked to correct a gap in the previous version of Proposition 2.5. The main results have been slightly improved, and figures and examples have been added. 29 pages
dc.identifierhttps://arxiv.org/abs/math/0703064
dc.identifierhttp://arxiv.org/abs/math/0703064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139294
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53D40; 37J45
dc.titleHofer's geometry and Floer theory under the quantum limit
dc.typetext

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