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- Title
THE CONCORDANCE GENUS OF 11-CROSSING KNOTS.
- Authors
KEARNEY, M. KATE
- Abstract
The concordance genus of a knot is the least genus of any knot in its concordance class. It is bounded above by the genus of the knot, and bounded below by the slice genus, two well-studied invariants. In this paper we consider the concordance genus of 11-crossing prime knots. This analysis resolves the concordance genus of 533 of the 552 prime 11-crossing knots. The appendix to the paper gives concordance diagrams for 59 knots found to be concordant to knots of lower genus, including null-concordances for the 30 11-crossing knots known to be slice.
- Subjects
CONCORDANCES (Topology); KNOT theory; KNOT invariants; GEOMETRIC topology; PRIME knots
- Publication
Journal of Knot Theory & Its Ramifications, 2013, Vol 22, Issue 13, p1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216513500776