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SOME RESULTS ABOUT THE KAUFFMAN BRACKET SKEIN MODULE OF THE TWIST KNOT EXTERIOR.
- Source :
-
Journal of Knot Theory & Its Ramifications . Oct2006, Vol. 15 Issue 8, p1095-1106. 12p. - Publication Year :
- 2006
-
Abstract
- In this paper, we list in explicit form the factoring relations of the Kauffman bracket skein module (KBSM for short) of a twist knot exterior. This is done using curves decorated by characters of irreducible SL(2, ℂ)-representations. In the process, we exhibit a relation which holds in the KBSM of the knot exterior, called the minimal relation. In the final section we prove that, when specializing the variable of the Kauffman bracket at t = -1, the minimal relation becomes the defining polynomial of the SL(2, ℂ)-character variety of the twist knot. [ABSTRACT FROM AUTHOR]
- Subjects :
- *KNOT theory
*LOW-dimensional topology
*KNOT polynomials
*POLYNOMIALS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 15
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 23098112
- Full Text :
- https://doi.org/10.1142/S0218216506004968