VIRTUAL HOMOTOPY-Reference-Cited by-同舟云学术

VIRTUAL HOMOTOPY

Published:2010-07 Issue:07 Volume:19 Page:935-960
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

DYE H. A.¹,KAUFFMAN LOUIS H.²

Affiliation:

1. McKendree University, 701 College Road, Lebanon, Illinois 62254, USA

2. Department of Mathematics, Statistics, & Computer Science, University of Illinois at Chicago, 851 South Morgan St, Chicago, IL 60607-7045, USA

Abstract

Two welded (respectively virtual) link diagrams are homotopic if one may be transformed into the other by a sequence of extended Reidemeister moves, classical Reidemeister moves, and self crossing changes. In this paper, we extend Milnor's μ and [Formula: see text] invariants to welded and virtual links. We conclude this paper with several examples, and compute the μ invariants using the Magnus expansion and Polyak's skein relation for the μ invariants.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216510008200

Reference15 articles.

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5. Weyl algebras and knots

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