Symplectic and Contact Topology: Interactions and Perspectives

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The periodic Floer homology of a Dehn twist. (2004, methodology): “As is familiar from KAM theory, we can perform a Hamiltonian perturbation of φ0 away from the boundary of [X1, X2] × S 1 to obtain a map φ so that whenever q ≤ Q, the above circle splits into two periodic orbits ep/q and hp/q.”
Erratum to “Geometry of contact transformations and domains: orderability versus squeezing” (2005, background): “53D10, 53D40; 53D35, 53D50 Dedicated to Dusa McDuff on the occasion of her 60th birthday”
Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties (2012, background): “De plus, en utilisant la dualité, nous confirmons aussi une conjecture de Donaldson sur les solutions du problème de valeurs au bord d’Abreu sur le corps convexe P dans le cas d’une mesure canonique donnée sur la frontière de P .”
A Duality Exact Sequence for Legendrian Contact Homology (2008, background): “The exact sequence generalizes the duality for Legendrian knots in R3 [26] and leads to a refinement of the Arnold Conjecture for double points of an exact Lagrangian admitting a Legendrian lift with linearizable contact homology, first proved in [7].”