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Hamiltonian C-0-continuity of Lagrangian capacity on the cotangent bundle

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Title
Hamiltonian C-0-continuity of Lagrangian capacity on the cotangent bundle
Author(s)
Oh, YG
Publication Date
2017-09
Journal
KYOTO JOURNAL OF MATHEMATICS, v.57, no.3, pp.613 - 636
Publisher
Duke University Press
Abstract
Partially motivated by the study of topological Hamiltonian dynamics, we prove the following C-0-continuity of the Lagrangian capacity function gamma(lag): gamma l(ag) (phi(1)(H)(0N)) := p(lag) (H;1) - p(lag) (H; [pt](#) -> 0 as phi(1)(H) -> id, provided the H's satisfy supp X-H subset of D-R(T*N) \ (0B) for some R> 0 and a closed subset B subset of N with nonempty interior. We also provide an estimate of the capacity in terms of the C-0-distance of d(C)0 (phi(1)(H), id) and the subset B subset of N relative to T*N
URI
https://pr.ibs.re.kr/handle/8788114/4423
ISSN
2156-2261
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2017_YGO_Hamiltonian C0 continuity of lagrangian capacity on the cotangent bundle.pdfDownload

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