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• W2895897803 abstract "Consider the holomorphic Hamiltonian action of a compact Lie group $K$ on a compact Kahler manifold $M$ with a moment map $Phi: Mrightarrow mathfrak{k}^*$. Assume that $0$ is a regular value of the moment map. Weitsman raised the question of what we can say about the cohomology of the Kahler quotient $M_0:=Phi^{-1}(0)/K$ if all the ordinary cohomology of $M$ is of type $(p, p)$. In this paper, using the Cartan-Chern-Weil theory we show that in the above context there is a natural surjective Kirwan map from an equivariant version of the Dolbeault cohomology of $M$ onto the Dolbeault cohomology of the Kahler quotient $M_0$. As an immediate consequence, this result provides an answer to the question posed by Weitsman." @default.
• W2895897803 created "2018-10-26" @default.
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• W2895897803 date "2018-05-01" @default.
• W2895897803 modified "2023-09-25" @default.
• W2895897803 title "Comparative study on stained InGaAs quantum wells for high-speed optical-interconnect VCSELs" @default.
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• W2895897803 doi "https://doi.org/10.1016/j.optcom.2018.01.032" @default.
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