The next-to-top term in knot Floer homology
Abstract
Let K be a null-homologous knot in a generalized L-space Z with b1(Z)1. Let F be a Seifert surface of K with genus g. We show that if HFK(Z,K,[F],g) is supported in a single Z/2 Z--grading, then \[rankHFK(Z,K,[F],g-1)HFK(Z,K,[F],g).\]
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