SURFACES IN R4 OF BRAID INDEX THREE ARE RIBBON-Reference-Cited by-同舟云学术

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SURFACES IN R4 OF BRAID INDEX THREE ARE RIBBON

Published:1992-06 Issue:02 Volume:01 Page:137-160
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

KAMADA SEIICHI¹

Affiliation:

1. Department of Mathematics, Osaka City University, Sumiyoshi-ku, Osaka, 558, Japan

Abstract

Any closed oriented surface embedded in R4 is described as a closed 2-dimensional braid and its braid index is defined. We study 2-dimensional braids through a method to describe them using graphs on a 2-disk and show that braid index two surfaces in R4 are unknotted and braid index three surfaces are ribbon.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216592000082

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