AN INTRODUCTION TO THE SUPERCROSSING INDEX OF KNOTS AND THE CROSSING MAP-Reference-Cited by-同舟云学术

AN INTRODUCTION TO THE SUPERCROSSING INDEX OF KNOTS AND THE CROSSING MAP

Published:2002-05 Issue:03 Volume:11 Page:445-459
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

ADAMS COLIN¹,OTHMER JONATHAN¹,STIER ANDREA¹,LEFEVER CARMEN²,PAHK SANG³,TRIPP JAMES⁴

Affiliation:

1. Department of Mathematics, Williams College, Williamstown, MA 01267, USA

2. Department of Mathematics, The Ohio State University, 231 W 18th Avenue, Columbus, OH 43210, USA

3. 3037 Deakin Street, Berkeley, CA 94705, USA

4. Department of Mathematics, The University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA

Abstract

This paper is an introduction to supercrossing index for knots and links, which is related to crossing index in the same way that N. Kuiper's superbridge index is related to bridge index. A variety of results on supercrossing index and the associated crossing map are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216502001731

Reference5 articles.

1. A new knot invariant

2. Polygon Indices and Superbridge Indices of Torus Knots and Links

3. Eine elementargeometrische Eigenschaft von Verschlingungen und Knoten

4. QUADRISECANTS OF KNOTS AND LINKS

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