Continuous Hamiltonian dynamics and area-preserving homeomorphism group of D2
DC Field | Value | Language |
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dc.contributor.author | Yong-Geun Oh | - |
dc.date.available | 2016-08-08T07:39:41Z | - |
dc.date.created | 2016-07-22 | - |
dc.date.issued | 2016-07 | - |
dc.identifier.issn | 0304-9914 | - |
dc.identifier.uri | https://pr.ibs.re.kr/handle/8788114/2716 | - |
dc.description.abstract | The main purpose of this paper is to propose a scheme of a proof of the nonsimpleness of the group HomeoΩ(D2 , ∂D2 ) of area pre- serving homeomorphisms of the 2-disc D2. We first establish the exis- tence of Alexander isotopy in the category of Hamiltonian homeomor- phisms. This reduces the question of extendability of the well-known Calabi homomorphism Cal : DiffΩ(D1 , ∂D2) → R to a homomorphism Cal : Hameo(D2 , ∂D2 ) → R to that of the vanishing of the basic phase function fF, a Floer theoretic graph selector constructed in [9], that is associated to the graph of the topological Hamiltonian loop and its nor- malized Hamiltonian F on S2 that is obtained via the natural embedding D2 ֒→ S2. Here Hameo(D2, ∂D2 ) is the group of Hamiltonian homeo- morphisms introduced by Mu¨ller and the author [18]. We then provide an evidence of this vanishing conjecture by proving the conjecture for the special class of weakly graphical topological Hamiltonian loops on D2 via the associated Hamiton-Jacobi equation. c 2016 Korean Mathematical Society | - |
dc.description.uri | 1 | - |
dc.language | 영어 | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.subject | area-preserving homeomorphism group, Calabi invariant, Lagrangian submanifolds, generating function, basic phase function, topological Hamiltonian loop, Hamilton-Jacobi equation | - |
dc.title | Continuous Hamiltonian dynamics and area-preserving homeomorphism group of D2 | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.identifier.wosid | 000384936600005 | - |
dc.identifier.scopusid | 2-s2.0-84975229517 | - |
dc.identifier.rimsid | 56179 | ko |
dc.date.tcdate | 2018-10-01 | - |
dc.contributor.affiliatedAuthor | Yong-Geun Oh | - |
dc.identifier.doi | 10.4134/JKMS.j150288 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.53, no.4, pp.195 - 834 | - |
dc.citation.title | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 53 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 195 | - |
dc.citation.endPage | 834 | - |
dc.date.scptcdate | 2018-10-01 | - |
dc.description.wostc | 1 | - |
dc.description.scptc | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |