BROWSE

Related Scientist

Researcher

오용근
기하학 수리물리 연구단
more info

Exact Lagrangian submanifolds, Lagrangian spectral invariants and Aubry-Mather theory

DC Field Value Language
dc.contributor.authorLino Amorim-
dc.contributor.authorYong-Geun Oh-
dc.contributor.authorJoana Oliveira Dos Santos-
dc.date.available2018-01-11T04:25:02Z-
dc.date.created2018-01-04-
dc.date.issued2018-11-
dc.identifier.issn0305-0041-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/4269-
dc.description.abstractWe construct graph selectors for compact exact Lagrangians in the cotangent bundle of an orientable, closed manifold. The construction combines Lagrangian spectral invariants, developed by Oh, and results, by Abouzaid, about the Fukaya category of a cotangent bundle. We also introduce the notion of Lipschitz-exact Lagrangians and prove that these admit an appropriate generalisation of graph selector. We then, following Bernard–Oliveira dos Santos, use these results to give a new characterisation of the Aubry and Ma˜ n´e sets of a Tonelli Hamiltonian and to generalise a result of Arnaud on Lagrangians invariant under the flow of such Hamiltonians. (c) Cambridge Philosophical Society 2017-
dc.languageENG-
dc.publisherCAMBRIDGE UNIV PRESS-
dc.titleExact Lagrangian submanifolds, Lagrangian spectral invariants and Aubry-Mather theory-
dc.typeArticle-
dc.type.rimsA-
dc.identifier.wosid000446178500002-
dc.identifier.scopusid2-s2.0-85054474470-
dc.contributor.affiliatedAuthorYong-Geun Oh-
dc.identifier.bibliographicCitationMATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.165, no.3, pp.411 - 434-
dc.embargo.liftdate9999-12-31-
dc.embargo.terms9999-12-31-
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2017_YGO_exact_lagrangian_submanifolds_lagrangian_spectral_invariants_and_aubrymather_theory.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse