Symplectic geometry on symplectic knot spaces
نویسنده
چکیده
Symplectic knot spaces are the spaces of symplectic subspaces in a symplectic manifold M . We introduce a symplectic structure and show that the structure can be also obtained by the symplectic quotient method. We explain the correspondence between coisotropic submanifolds in M and Lagrangians in the symplectic knot space. We also define an almost complex structure on the symplectic knot space, and study the correspondence between almost complex submanifolds in M and holomorphic curves in the symplectic knot space.
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