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Two-orbit Kähler manifolds and Morse Theory

Anna Gori·Fabio Podesta'
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Abstract

We deal with compact Kähler manifolds $M$ acted on by a compact Lie group $K$ of isometries, whose complexification $K^\C$ has exactly one open and one closed orbit in $M$. If the $K$-action is Hamiltonian, we obtain results on the cohomology and the $K$-equivariant cohomology of $M$.

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Anna Gori, Fabio Podesta'. 2003-10-13. Two-orbit Kähler manifolds and Morse Theory. https://arxiv.org/abs/math/0310178

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