How large isotopy is needed to connect homotopic diffeomorphisms (of 2)

Dmitri Burago; Jinpeng Lu; Tristan Ozuch

doi:10.1142/S1793525320500028

How large isotopy is needed to connect homotopic diffeomorphisms (of 2)

Dmitri Burago, Jinpeng Lu, Tristan Ozuch

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

Abstract

Given a diffeomorphism which is homotopic to the identity from the 2-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question.

Original language	English (US)
Pages (from-to)	1213-1222
Number of pages	10
Journal	Journal of Topology and Analysis
Volume	12
Issue number	4
DOIs	https://doi.org/10.1142/S1793525320500028
State	Published - Dec 1 2020

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

Access to Document

10.1142/S1793525320500028

Cite this

@article{ff3e0f74a3c84b8cae61a8d2eab839eb,

title = "How large isotopy is needed to connect homotopic diffeomorphisms (of 2)",

abstract = "Given a diffeomorphism which is homotopic to the identity from the 2-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question.",

author = "Dmitri Burago and Jinpeng Lu and Tristan Ozuch",

note = "Funding Information: The first author was partially supported by NSF Grant DMS-1205597. Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

month = dec,

day = "1",

doi = "10.1142/S1793525320500028",

language = "English (US)",

volume = "12",

pages = "1213--1222",

journal = "Journal of Topology and Analysis",

issn = "1793-5253",

publisher = "World Scientific",

number = "4",

}

TY - JOUR

T1 - How large isotopy is needed to connect homotopic diffeomorphisms (of 2)

AU - Burago, Dmitri

AU - Lu, Jinpeng

AU - Ozuch, Tristan

PY - 2020/12/1

Y1 - 2020/12/1

N2 - Given a diffeomorphism which is homotopic to the identity from the 2-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question.

AB - Given a diffeomorphism which is homotopic to the identity from the 2-torus to itself, we construct an isotopy whose norm is controlled by that of the diffeomorphism in question.

UR - http://www.scopus.com/inward/record.url?scp=85061278462&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061278462&partnerID=8YFLogxK

U2 - 10.1142/S1793525320500028

DO - 10.1142/S1793525320500028

M3 - Article

AN - SCOPUS:85061278462

SN - 1793-5253

VL - 12

SP - 1213

EP - 1222

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 4

ER -

How large isotopy is needed to connect homotopic diffeomorphisms (of 2)

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this