AN OBSTRUCTION TO SLICING ITERATED BING DOUBLES-Reference-Cited by-同舟云学术

AN OBSTRUCTION TO SLICING ITERATED BING DOUBLES

Published:2013-05 Issue:06 Volume:22 Page:1350029
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

VAN COTT CORNELIA A.¹

Affiliation:

1. University of San Francisco, 2130 Fulton Street, San Francisco CA 94117, USA

Abstract

Recent advances in understanding slicing properties of Bing doubles of knots have depended on properties of iterated covering links. We expand and refine this covering link calculus. Our main application here is a simplified proof of the following result of Cha and Kim: If the iterated Bing double of a knot K is slice, then K is algebraically slice. Further applications are included in joint work with Livingston studying 4-genera of Bing doubles. The techniques also appear in the work of Levine studying mixed Bing-Whitehead doubles.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216513500296

Reference15 articles.

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4. THE EFFECT OF MUTATION ON LINK CONCORDANCE, 3-MANIFOLDS, AND THE MILNOR INVARIANTS

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