Cubulated moves for 2-knots-Reference-Cited by-同舟云学术

Cubulated moves for 2-knots

Published:2019-01 Issue:01 Volume:28 Page:1950008
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Díaz Juan Pablo¹,Hinojosa Gabriela¹,Verjosvky Alberto²

Affiliation:

1. Centro de Investigación en Ciencias, IICBA. Universidad Autónoma del, Estado de Morelos. Av. Universidad 1001, Col. Chamilpa. Cuernavaca, Morelos, 62209, México

2. Instituto de Matemáticas, Unidad Cuernavaca. Universidad Nacional, Autónoma de México. Av. Universidad s/n, Col. Lomas de Chamilpa. Cuernavaca, Morelos, 62209, México

Abstract

In this paper, we prove that given two cubical links of dimension two in [Formula: see text], they are isotopic if and only if one can pass from one to the other by a finite sequence of cubulated moves. These moves are analogous to the Reidemeister and Roseman moves for classical tame knots (links) of dimensions one and two, respectively.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216519500081

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