The Big Dehn Surgery Graph and the link of 𝑆³

Author:

Hoffman Neil,Walsh Genevieve

Abstract

In a talk at the Cornell Topology Festival in 2004, W. Thurston discussed a graph which we call “The Big Dehn Surgery Graph”, B \mathcal {B} . Here we explore this graph, particularly the link of S 3 S^3 , and prove facts about the geometry and topology of B \mathcal {B} . We also investigate some interesting subgraphs and pose what we believe are important questions about B \mathcal {B} .

Publisher

American Mathematical Society (AMS)

Subject

General Medicine

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