Floer homology and singular knots
Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo
TL;DR
This paper introduces Floer homology theories for singular knots in three-dimensional space, including a combinatorial approach for planar singular knots, expanding the tools available for knot analysis.
Contribution
It defines new Floer homology theories for singular knots and provides a combinatorial method for planar cases, advancing knot theory techniques.
Findings
Defined Floer homology for singular knots in S^3
Established a combinatorial framework for planar singular knots
Extended Floer homology applications to singular knot types
Abstract
We define Floer homology theories for oriented, singular knots in S^3 and show that one of these theories can be defined combinatorially for planar singular knots.
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