Knots in handlebodies with nontrivial handlebody surgeries
R. Sean Bowman
TL;DR
This paper presents examples of knots within genus 2 handlebodies that admit nontrivial Dehn surgeries resulting in handlebodies, highlighting their non-1-bridge nature and contributing to the understanding of handlebody surgeries.
Contribution
It provides explicit examples of such knots and analyzes their properties, expanding knowledge of handlebody surgeries and knot classifications.
Findings
Existence of knots with nontrivial handlebody surgeries
These knots are not 1-bridge
Insights into handlebody surgery structures
Abstract
We give examples of knots in a genus 2 handlebody which have nontrivial Dehn surgeries yielding handlebodies and show that these knots are not 1--bridge.
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