On Cohomology of Invariant Submanifolds of Hamiltonian Actions
نویسنده
چکیده
In [5] the author proved that if there is a free algebraic circle action on a nonsingular real algebraic variety X then the fundamental class is trivial in any nonsingular projective complexification i : X → XC. The Kähler forms on C and CP naturally induce symplectic structures on complex algebraic affine or projective varieties and in case they are defined over reals, their real parts, if not empty, are Lagrangian submanifolds. The following result can be considered as a symplectic equivalent of author’s above result on real algebraic varieties.
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تاریخ انتشار 2008