【摘 要】
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Let K be a genus g alternating knot with Alexander polynomial ΔK(T) =Σgi=-gaiTi.We show that if |ag| =|ag-1|,then K is the torus knot T2g+1,±2.This is a special case of the Fox Trapezoidal Conjecture.The proof uses Ozsváth and Szab(o)\'s work on alterna
【机 构】
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Department of Mathematics,Caltech,MC 253-371200 E California Blvd,Pasadena,CA 91125,USA
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Let K be a genus g alternating knot with Alexander polynomial ΔK(T) =Σgi=-gaiTi.We show that if |ag| =|ag-1|,then K is the torus knot T2g+1,±2.This is a special case of the Fox Trapezoidal Conjecture.The proof uses Ozsváth and Szab(o)\'s work on alternating knots.
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