Finite knot surgeries and Heegaard Floer homology
Margaret I. Doig
TL;DR
This paper investigates the classification of knots in three-dimensional space that admit finite surgeries, utilizing Heegaard Floer homology to analyze their properties and constraints.
Contribution
It provides new classifications and constraints on finite knot surgeries using Heegaard Floer homology techniques, improving understanding of knot and 3-manifold topology.
Findings
Classifies knots with finite surgeries using Floer homology
Establishes new constraints on possible finite surgeries
Provides comprehensive tables and proofs for clarity
Abstract
Extensive rewrite. Tables and proofs have been reformatted and/or rewritten for clarity.
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