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Results tagged with sg.symplectic-geometry
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user 428
Hamiltonian systems, symplectic flows, classical integrable systems
16
votes
Accepted
What is Floer homology of a knot?
I can say something about this for Heegaard Floer homology. Given a 3-manifold Y, you can take a Heegaard splitting, i.e. a decomposition of Y into two genus g handlebodies joined along their boundar …
- 6,589
3
votes
Legendrian knot in 3-sphere
The knot must be quasipositive. You can perturb it to be transverse as in Marco Golla's answer, and then a theorem of Boileau and Orevkov (in Quasi-positivité d'une courbe analytique dans une boule p …
- 6,589
2
votes
{0,1} Maslov potentials on Legendrian knots
I don't have anything close to a complete answer, but for many $tb$-maximizing knots we can get some obstructions from Legendrian contact homology. The generators for the DGA $A(K)$ associated to a g …
- 6,589