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Virtual knot cobordism and the affine index polynomial.
- Source :
- Journal of Knot Theory & Its Ramifications; Oct2018, Vol. 27 Issue 11, pN.PAG-N.PAG, 29p
- Publication Year :
- 2018
-
Abstract
- This paper studies cobordism and concordance for virtual knots. We define the affine index polynomial, prove that it is a concordance invariant for knots and links (explaining when it is defined for links), show that it is also invariant under certain forms of labeled cobordism and study a number of examples in relation to these phenomena. Information on determinations of the four-ball genus of some virtual knots is obtained by via the affine index polynomial in conjunction with results on the genus of positive virtual knots using joint work with Dye and Kaestner. [ABSTRACT FROM AUTHOR]
- Subjects :
- KNOT theory
POLYNOMIALS
COBORDISM theory
MATHEMATICAL analysis
INFORMATION theory
Subjects
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 27
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 132580467
- Full Text :
- https://doi.org/10.1142/S0218216518430174