A complete list of lens spaces constructed by Dehn surgery I

Abstract

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 Poincaré homology sphere surgery when $\tau >1$.

46 pages, 41 figures and 4 tables

References in corpus (1)

• Lens space surgeries and L-space homology spheres

Cited by in corpus (1)

• The lens space realization problem