Geodesic
Longitude Floer homology and the Whitehead double
Eftekhary, Eaman1
1Mathematics Department, Harvard University, 1 Oxford Street, Cambridge MA 02138, USA
Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1389-1418
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We define the longitude Floer homology of a knot K ⊂ S3 and show that it is a topological invariant of K. Some basic properties of these homology groups are derived. In particular, we show that they distinguish the genus of K. We also make explicit computations for the (2,2n + 1) torus knots. Finally a correspondence between the longitude Floer homology of K and the Ozsváth–Szabó Floer homology of its Whitehead double KL is obtained.

DOI : 10.2140/agt.2005.5.1389
Keywords: Floer homology, knot, longitude, Whitehead double

Eftekhary, Eaman  1

1 Mathematics Department, Harvard University, 1 Oxford Street, Cambridge MA 02138, USA 
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Eftekhary, Eaman. Longitude Floer homology and the Whitehead double. Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1389-1418. doi: 10.2140/agt.2005.5.1389

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