UNSPECIFIED (1997) Markov's theorem in 3-manifolds. In: Joint Meeting of the American-Mathematical-Society / Israel-Mathematical-Union, JERUSALEM, ISRAEL, MAY, 1995. Published in: TOPOLOGY AND ITS APPLICATIONS, 78 (1-2). pp. 95-122.

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Abstract

In this paper we first give a one-move version of Markov's braid theorem for knot isotopy in S-3 that sharpens the classical theorem. Then we give a relative version of Markov's theorem concerning a fixed braided portion in the knot. We also prove an analogue of Markov's theorem for knot isotopy in knot complements. Finally we extend this last result to prove a Markov theorem for links in an arbitrary orientable 3-manifold. (C) 1997 Elsevier Science B.V.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	TOPOLOGY AND ITS APPLICATIONS
Publisher:	ELSEVIER SCIENCE BV
ISSN:	0166-8641
Date:	15 July 1997
Volume:	78
Number:	1-2
Number of Pages:	28
Page Range:	pp. 95-122
Publication Status:	Published
Title of Event:	Joint Meeting of the American-Mathematical-Society / Israel-Mathematical-Union
Location of Event:	JERUSALEM, ISRAEL
Date(s) of Event:	MAY, 1995
URI:	http://wrap.warwick.ac.uk/id/eprint/17665

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