A complete list of lens spaces constructed by Dehn surgery I

Details A complete list of lens spaces constructed by Dehn surgery I A complete list of lens spaces constructed by Dehn surgery I

2010-05-19

arxiv.org/abs/1005.3512v2

Mathematics

Geometric Topology

46 pages, 41 figures and 4 tables

Scientific paper

Berge in [1] defined doubly primitive knots, which yield lens spaces by Dehn surgery. At the same paper he listed the knots into several types. In this paper we will prove the list is complete when $\tau>1$. The invariant $\tau$ is a quantity with regard to lens space surgery, which is defined in this paper. Furthermore at the same time we will also prove that Table~6 in [8] is complete as Poincar\'e homology sphere surgery when $\tau>1$.

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