KNOTTED 2-SPHERES IN TUBES IN Z4-Reference-Cited by-同舟云学术

KNOTTED 2-SPHERES IN TUBES IN Z4

Published:2012-08-27 Issue:11 Volume:21 Page:1250116
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

SOTEROS C. E.¹,SUMNERS D. W.²,WHITTINGTON S. G.³

Affiliation:

1. Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK S7N 5E6, Canada

2. Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA

3. Department of Chemistry, University of Toronto, Toronto, ON M5S 3H6, Canada

Abstract

We prove a pattern theorem for 2-spheres in tubes in Z4 and use this to prove that all except exponentially few 2-spheres in a tube in Z4 are knotted. We sketch how the argument can be applied to prove the same result for p-spheres in a tube in Zp+2, p > 2.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216512501167

Reference27 articles.

1. Stretched polygons in a lattice tube

2. The Knotting of Equilateral Polygons in R3

3. Global Knotting in Equilateral Random Polygons

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