A note on lens space surgeries: orders of fundamental groups versus Seifert genera

preprint2010arXivOpen access

Abstract

Let K be a non-trivial knot in the 3-sphere with a lens space surgery and L(p,q) a lens space obtained by a Dehn surgery on K. We study a relationship between the order of the fundamental group of L(p,q) and the Seifert genus of K.

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