RECTANGLE CONDITION FOR COMPRESSION BODIES AND 2-FOLD BRANCHED COVERINGS-Reference-Cited by-同舟云学术

RECTANGLE CONDITION FOR COMPRESSION BODIES AND 2-FOLD BRANCHED COVERINGS

Published:2012-05-10 Issue:08 Volume:21 Page:1250078
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

KIM JUNGSOO¹,LEE JUNG HOON²

Affiliation:

1. Department of Mathematics, Chung-Ang University, Seoul, Korea

2. Department of Mathematics and Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju 561-756, Korea

Abstract

We give the rectangle condition for strong irreducibility of Heegaard splittings of 3-manifolds with non-empty boundary. We apply this to a generalized Heegaard splitting of 2-fold covering of S3 branched along a link. The condition implies that any thin meridional level surface in the link complement is incompressible. We also show that the additivity of width holds for a composite knot satisfying the condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216512500782

Reference12 articles.

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3. Thin position for knots and 3-manifolds

4. R. Kirby, Geometric Topology (Athens, GA, 1993), AMS/IP Studies in Advanced Mathematics 2 (American Mathematical Society, 1997) pp. 35–473.

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