Alexander polynomials of alternating knots of genus two
In Dae Jong
Source: Osaka J. Math. Volume 46, Number 2 (2009), 353-371.
Abstract
We confirm R.H. Fox's trapezoidal conjecture for alternating knots of genus two by a method different from P. Ozsváth and Z. Szabó's one. As an application, we determine the alternating knots of genus two whose Alexander polynomials have minimal coefficients equal to one or two.
Primary Subjects: 57M25
Secondary Subjects: 57M27
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ojm/1245415674
Zentralblatt MATH identifier:
05578934
2009 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics
