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BRAIDS AND MOVIES

J. SCOTT CARTER

Department of Mathematics, University of South Alabama, Mobile, Alabama 36688, USA

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and

MASAHICO SAITO

Department of Mathematics, University of South Florida, Tampa, Florida 33620, USA

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https://doi.org/10.1142/S0218216596000345Cited by:5 (Source: Crossref)

Abstract

Knotted surfaces in 4-space are described by sequences of classical braids. We provide a finite set of moves to such sequences of classical braid words such that two sequences represent the same knotting if and only if they are related by a sequence of moves in this set.