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REGULAR HOMOTOPIC DEFORMATION OF COMPACT SURFACE WITH BOUNDARY AND MAPPING CLASS GROUP

SUSUMU HIROSE

Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, 278-8510, Japan

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and

AKIRA YASUHARA

Department of Mathematics, Tokyo Gakugei University, Nukuikita 4–1–1, Koganei, Tokyo 184–8501, Japan

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https://doi.org/10.1142/S021821651100925XCited by:0 (Source: Crossref)

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:

AMSC: 57M60, 57N10

References

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