The prism manifold realization problem II

2017/09/29 by Ballinger, William, Ni, Yi, Ochse, Tynan +1 · 1 citation
#57M25 #57R65 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1710.00089

Abstract

We continue our study of the realization problem for prism manifolds. Every prism manifold can be parametrized by a pair of relatively prime integers p>1 and q. We determine a complete list of prism manifolds P(p, q) that can be realized by positive integral surgeries on knots in S³ when q>p. The methodology undertaken to obtain the classification is similar to that of the case q<0 in an earlier paper.

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