LOCAL MOVE IDENTITIES FOR THE ALEXANDER POLYNOMIALS OF HIGH-DIMENSIONAL KNOTS AND INERTIA GROUPS-Reference-Cited by-同舟云学术

LOCAL MOVE IDENTITIES FOR THE ALEXANDER POLYNOMIALS OF HIGH-DIMENSIONAL KNOTS AND INERTIA GROUPS

Published:2009-04 Issue:04 Volume:18 Page:531-545
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

OGASA EIJI¹

Affiliation:

1. Computer Science, Meijigakuin University, Yokohama, Kanagawa, 244-8539, Japan

Abstract

As analogues of the well-known skein relations for the Alexander and the Jones polynomials for classical links, we present three relations that hold among invariants of high dimensional knots differing by "local moves". Two are for the Alexander polynomials and the other is for the Arf-invariants, the inertia group and the bP-subgroup.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216509007014

Reference23 articles.

1. On the Non-Existence of Elements of Hopf Invariant One

2. Topological invariants of knots and links

3. The Kervaire Invariant of Framed Manifolds and its Generalization

4. Surgery on Simply-Connected Manifolds

5. A Note on Stiefel Manifolds

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