The Big Dehn Surgery Graph and the link of 𝑆³

Hoffman, Neil; Walsh, Genevieve

doi:10.1090/bproc/20

The Big Dehn Surgery Graph and the link of $S^3$

Authors: Neil R. Hoffman and Genevieve S. Walsh
Journal: Proc. Amer. Math. Soc. Ser. B 2 (2015), 17-34
MSC (2010): Primary 57M25; Secondary 57M50
DOI: https://doi.org/10.1090/bproc/20
Published electronically: November 13, 2015
MathSciNet review: 3422666
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Abstract: In a talk at the Cornell Topology Festival in 2004, W. Thurston discussed a graph which we call “The Big Dehn Surgery Graph”, $\mathcal {B}$. Here we explore this graph, particularly the link of $S^3$, and prove facts about the geometry and topology of $\mathcal {B}$. We also investigate some interesting subgraphs and pose what we believe are important questions about $\mathcal {B}$.

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