Abstract
We define the longitude Floer homology of a knot and show that it is a topological invariant of . Some basic properties of these homology groups are derived. In particular, we show that they distinguish the genus of . We also make explicit computations for the torus knots. Finally a correspondence between the longitude Floer homology of and the Ozsváth–Szabó Floer homology of its Whitehead double is obtained.
Citation
Eaman Eftekhary. "Longitude Floer homology and the Whitehead double." Algebr. Geom. Topol. 5 (4) 1389 - 1418, 2005. https://doi.org/10.2140/agt.2005.5.1389
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