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5 papers · 1 filter
Algebraic functions and closed braids
Lee Rudolph
This article was originally published in Topology 22 (1983). The present hyperTeXed redaction includes references to post-1983 results as Addenda, and corrects a few typographical…
Knots with unknotting number one and Heegaard Floer homology
Peter Ozsvath, Zoltan Szabo
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 que…
The next simplest hyperbolic knots
Abhijit Champanerkar, Ilya Kofman, Eric Patterson
We complete the project begun by Callahan, Dean and Weeks to identify all knots whose complements are in the SnapPea census of hyperbolic manifolds with seven or fewer tetrahedra.…
Monopoles and lens space surgeries
Peter Kronheimer, Tomasz Mrowka, Peter Ozsvath +1
Monopole Floer homology is used to prove that real projective three-space cannot be obtained from Dehn surgery on a non-trivial knot in the three-sphere. To obtain this result, we…
On the Heegaard Floer homology of branched double-covers
Peter Ozsvath, Zoltan Szabo
Let be a link. We study the Heegaard Floer homology of the branched double-cover of , branched along . When is an alternating link, $\HFa$ of its…