Quantitative h-principle in symplectic geometry

Lev Buhovsky; Emmanuel Opshtein

doi:https://doi.org/10.1007/s11784-022-00947-8

Quantitative h-principle in symplectic geometry

Lev Buhovsky, Emmanuel Opshtein

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a quantitative h-principle statement for subcritical isotropic embeddings. As an application, we construct a symplectic homeomorphism that takes a symplectic disc into an isotropic one in dimension at least 6.

Original language	English
Article number	38
Journal	Journal of Fixed Point Theory and Applications
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/s11784-022-00947-8
State	Published - Jun 2022

Keywords

Flexibility
H-principle
Subcritical isotropic embedding
Symplectic homeomorphism

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Geometry and Topology
Applied Mathematics

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https://doi.org/10.1007/s11784-022-00947-8

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title = "Quantitative h-principle in symplectic geometry",

abstract = "We prove a quantitative h-principle statement for subcritical isotropic embeddings. As an application, we construct a symplectic homeomorphism that takes a symplectic disc into an isotropic one in dimension at least 6.",

keywords = "Flexibility, H-principle, Subcritical isotropic embedding, Symplectic homeomorphism",

author = "Lev Buhovsky and Emmanuel Opshtein",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = jun,

doi = "https://doi.org/10.1007/s11784-022-00947-8",

language = "الإنجليزيّة",

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T1 - Quantitative h-principle in symplectic geometry

AU - Buhovsky, Lev

AU - Opshtein, Emmanuel

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AB - We prove a quantitative h-principle statement for subcritical isotropic embeddings. As an application, we construct a symplectic homeomorphism that takes a symplectic disc into an isotropic one in dimension at least 6.

KW - Flexibility

KW - H-principle

KW - Subcritical isotropic embedding

KW - Symplectic homeomorphism

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U2 - https://doi.org/10.1007/s11784-022-00947-8

DO - https://doi.org/10.1007/s11784-022-00947-8

M3 - مقالة

SN - 1661-7738

VL - 24

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 2

M1 - 38

ER -

Quantitative h-principle in symplectic geometry

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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