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Hamiltonian systems, symplectic flows, classical integrable systems
3
votes
Concerning the homological mirror symmetry conjecture
First - note that the way you state HMS in the setting you ask about (toric) is not exactly the way it actually is (because - in the "A to B direction" - you actually need to consider the singular der …
3
votes
What is a Lagrangian submanifold intuitively?
As mentioned in previous answers - Lagrangian submanifolds encode vast amount of information on the symplectic geometry of the ambient symplectic manifold $M$ they live in (like sheaves on an algebrai …
0
votes
When is mean curvature flow a Hamiltonian isotopy?
You might find interest in the following work by I. Castro and A. M. Lerma on Lagrangian mean curvature flow and the Clifford torus.
4
votes
Learning Quantum (Co)Homology and Landau Ginzburg Superpotential
You can find some very accessible discussion on quantum cohomology of toric (Fano) manifolds in On the quantum homology algebra of toric Fano manifolds by Ostrover & Tyomkin (and references therein). …