ON THE KNOT FLOER FILTRATION OF THE CONCORDANCE GROUP-Reference-Cited by-同舟云学术

ON THE KNOT FLOER FILTRATION OF THE CONCORDANCE GROUP

Published:2013-12 Issue:14 Volume:22 Page:1350084
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HANCOCK STEPHEN¹,HOM JENNIFER¹,NEWMAN MICHAEL²

Affiliation:

1. Department of Mathematics, Columbia University, New York, NY 10027, USA

2. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA

Abstract

The knot Floer complex together with the associated concordance invariant ε can be used to define a filtration on the smooth concordance group. We show that the indexing set of this filtration contains ℕ × ℤ as an ordered subset.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216513500843

Reference8 articles.

1. Knot concordance and higher-order Blanchfield duality

2. Knot concordance, Whitney towers and L2-signatures

3. Topologically slice knots with nontrivial Alexander polynomial

4. Knot Floer homology and the four-ball genus

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3. A further note on the concordance invariants epsilon and upsilon;Proceedings of the American Mathematical Society;2019-10-18

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