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On two-bridge knots and a conjecture of Hirasawa–Murasugi.
- Source :
- Journal of Knot Theory & Its Ramifications; Feb2021, Vol. 30 Issue 2, pN.PAG-N.PAG, 16p
- Publication Year :
- 2021
-
Abstract
- Fox conjectured the Alexander polynomial of an alternating knot is trapezoidal, i.e. the absolute values of the coefficients first increase, then stabilize and finally decrease in a symmetric way. Recently, Hirasawa and Murasugi further conjectured a relation between the number of the stable coefficients in the Alexander polynomial and the signature invariant. In this paper we prove the Hirasawa–Murasugi conjecture for two-bridge knots. [ABSTRACT FROM AUTHOR]
- Subjects :
- LOGICAL prediction
KNOT theory
ABSOLUTE value
Subjects
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 30
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 149900565
- Full Text :
- https://doi.org/10.1142/S0218216521500073