Mathematics – Geometric Topology
Scientific paper
2004-01-30
Mathematics
Geometric Topology
Minor revisions, updated references
Scientific paper
We use Heegaard Floer homology to give obstructions to unknotting a knot with a single crossing change. These restrictions are particularly useful in the case where the knot in question is alternating. As an example, we use them to classify all knots with crossing number less than or equal to nine and unknotting number equal to one. We also classify alternating knots with ten crossings and unknotting number equal to one.
Ozsvath Peter
Szabo Zoltan
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