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- W4287724608 abstract "In this paper we study the geometry of the total space $Y$ of a cotangent bundle to a Kahler manifold $N$ where $N$ is obtained as a Kahler reduction from $mathbb C^n$. Using the hyperkahler reduction we construct a hyperkahler metric on $Y$ and prove that it coincides with the canonical Feix-Kaledin metric. This metric is in general non-complete. We show that the metric completion $tilde Y$ of the space $Y$ is equipped with a structure of a stratified hyperkahler space. We give a necessary condition for the Feix-Kaledin metric to be complete using an observation of R.Bielawski. Pick a complex structure $J$ on $tilde Y$ induced from quaternions. Suppose that $Jnepm I$ where $I$ is the complex structure whose restriction to $Y = T^*N$ is induced by the complex structure on $N$. We prove that the space $tilde{Y}_J$ admits an algebraic structure and is an affine variety." @default.
- W4287724608 created "2022-07-26" @default.
- W4287724608 creator A5007144917 @default.
- W4287724608 date "2020-07-11" @default.
- W4287724608 modified "2023-10-14" @default.
- W4287724608 title "Feix-Kaledin metric on the total spaces of cotangent bundles to Kahler quotients" @default.
- W4287724608 doi "https://doi.org/10.48550/arxiv.2007.05773" @default.
- W4287724608 hasPublicationYear "2020" @default.
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