Rectangle condition for bridge decompositions of links-Reference-Cited by-同舟云学术

Rectangle condition for bridge decompositions of links

Published:2019-11-05 Issue:14 Volume:28 Page:1950082
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kwon Bo-Hyun¹^ORCID

Affiliation:

1. Department of Mathematics, Korea University, 143 Anam-ro, Anam-dong, Seongbuk-gu, Seoul, South Korea

Abstract

In this paper, we define the rectangle condition for bridge decompositions of links in [Formula: see text] whose definition is analogous to the definition of the rectangle condition for Heegaard splittings of [Formula: see text]-manifolds. We show that the satisfaction of the rectangle condition for an [Formula: see text]-bridge decomposition can guarantee that the Hempel distance of the [Formula: see text]-bridge decomposition is greater than or equal to two.

Funder

National Research Foundation of Korea

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216519500822

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