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The prism manifold realization problem II

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Authors
Vafaee, Faramarz
Ballinger, William
Ni, Yi
Ochse, Tynan
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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 article
Subject
math.GT
math.GT
57M25, 57R65
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https://hdl.handle.net/10161/17373
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Scholars@Duke

Vafaee

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&ndash;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
This author no longer has a Scholars@Duke profile, so the information shown here reflects their Duke status at the time this item was deposited.
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