BROWSE

Related Scientist

Researcher

오용근
기하학 수리물리 연구단
more info

Localization of Floer homology of engulfed topological Hamiltonian loop

Cited 0 time in webofscience Cited 0 time in scopus
484 Viewed 51 Downloaded
Title
Localization of Floer homology of engulfed topological Hamiltonian loop
Author(s)
Yong Geun Oh
Publication Date
2013
Journal
Communications in Information and Systems, v.13, no.4, pp.399 - 443
Publisher
International Press of Boston, Inc.
Abstract
Localization of Floer homology is first introduced by Floer [Fl2] in the context of Hamiltonian Floer homology. The author employed the notion in the Lagrangian context for the pair (φ1 H(L), L) of compact Lagrangian submanifolds in tame symplectic manifolds (M,ω) in [Oh1, Oh2] for a compact Lagrangian submanifold L and C2-small Hamiltonian H. In this article, motivated by the study of topological Hamiltonian dynamics, we extend the localization process for any engulfed Hamiltonian path φH whose time-one map φ1 H is sufficiently C0-close to the identity (and also to the case of triangle product), and prove that the local Lagrangian spectral invariant defined on a Darboux-Weinstein neighborhood of L is the same as the global one defined on the full cotangent bundle T.L. Such a Hamiltonian path naturally occurs as an approximating sequence of engulfed topological Hamiltonian loop. We also apply this localization to the graph of φt H in (M × M,ω ..ω) and localize the Hamiltonian Floer complex of such a Hamiltonian H. We expect that this study will play an important role in the study of homotopy invariance of the spectral invariants of topological Hamiltonian.
URI
https://pr.ibs.re.kr/handle/8788114/817
ISSN
1526-7555
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2013_YGO_Localization_of_FloerHomology_of_Engulfed_Topological_Hamiltonian_추가.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