The prism manifold realization problem II
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 $S^3$ when $q>p$. The
methodology undertaken to obtain the classification is similar to that of the
case $q<0$ in an earlier paper.
Type
Journal articlePermalink
https://hdl.handle.net/10161/17373Collections
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Show full item recordScholars@Duke
Faramarz Vafaee
Phillip Griffiths Assistant Research Professor
My main research interests lie in low dimensional topology and geometry. Among others,
these interests include Heegaard Floer homology and its applications, Khovanov homology,
contact and symplectic geometry, and handlebody theory. A central goal of low dimensional
topology is to understand three and four–dimensional spaces. Achieving this
understanding is often aided through the study of knots and surfaces embedded therein,
and the theory of knotted curves and surfaces have
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