Regular homotopic deformation of compact surface with boundary and mapping class group

Susumu Hirose; Akira Yasuhara

doi:10.1142/S021821651100925X

Regular homotopic deformation of compact surface with boundary and mapping class group

Susumu Hirose^*, Akira Yasuhara

^*Corresponding author for this work

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

Abstract

A necessary and sufficient algebraic condition for a diffeomorphism over a surface embedded in S³ to be induced by a regular homotopic deformation is discussed, and a formula for the number of signed pass moves needed for this regular homotopy is given.

Original language	English
Pages (from-to)	1391-1396
Number of pages	6
Journal	Journal of Knot Theory and its Ramifications
Volume	20
Issue number	10
DOIs	https://doi.org/10.1142/S021821651100925X
Publication status	Published - 2011 Oct
Externally published	Yes

Keywords

Mapping class group
regular homotopy

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S021821651100925X

Cite this

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title = "Regular homotopic deformation of compact surface with boundary and mapping class group",

abstract = "A necessary and sufficient algebraic condition for a diffeomorphism over a surface embedded in S3 to be induced by a regular homotopic deformation is discussed, and a formula for the number of signed pass moves needed for this regular homotopy is given.",

keywords = "Mapping class group, regular homotopy",

author = "Susumu Hirose and Akira Yasuhara",

note = "Funding Information: This research was supported by Grant-in-Aid for Scientific Research (C) (No. 20540083 and No. 20540065), Japan Society for the Promotion of Science.",

year = "2011",

month = oct,

doi = "10.1142/S021821651100925X",

language = "English",

volume = "20",

pages = "1391--1396",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

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AU - Hirose, Susumu

AU - Yasuhara, Akira

N1 - Funding Information: This research was supported by Grant-in-Aid for Scientific Research (C) (No. 20540083 and No. 20540065), Japan Society for the Promotion of Science.

PY - 2011/10

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N2 - A necessary and sufficient algebraic condition for a diffeomorphism over a surface embedded in S3 to be induced by a regular homotopic deformation is discussed, and a formula for the number of signed pass moves needed for this regular homotopy is given.

AB - A necessary and sufficient algebraic condition for a diffeomorphism over a surface embedded in S3 to be induced by a regular homotopic deformation is discussed, and a formula for the number of signed pass moves needed for this regular homotopy is given.

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KW - regular homotopy

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Regular homotopic deformation of compact surface with boundary and mapping class group

Abstract

Keywords

ASJC Scopus subject areas

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