Alexander polynomials of alternating knots of genus two

In Dae Jong

doi:ojm/1245415674

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Home > Journals > Osaka J. Math. > Volume 46 > Issue 2 > Article

June 2009 Alexander polynomials of alternating knots of genus two

In Dae Jong

Osaka J. Math. 46(2): 353-371 (June 2009).

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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.