The prism manifold realization problem III

2018/08/16 by William E. Ballinger, Yi Ni, Ballinger, William +5 · 1 citation
Mathematics · #57M25 #57R65 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1808.05321

openalex publication_date 2018/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Every prism manifold can be parametrized by a pair of relatively prime integers p>1 and q. In our earlier papers, we determined a complete list of prism manifolds P(p, q) that can be realized by positive integral surgeries on knots in S³ when q<0 or q>p; in the present work, we solve the case when 0

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