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Markov's theorem in 3-manifolds
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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. ISSN 0166-8641.
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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) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | TOPOLOGY AND ITS APPLICATIONS | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0166-8641 | ||||
Official Date: | 15 July 1997 | ||||
Dates: |
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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 |
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