Simply connected Sasaki–Einstein rational homology 5-spheres

Jihun Park; Joonyeong Won

doi:10.1215/00127094-2020-0085

15 April 2021 Simply connected Sasaki–Einstein rational homology 5-spheres

Jihun Park, Joonyeong Won

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Abstract

We completely determine which simply connected rational homology 5-spheres admit Sasaki–Einstein metrics.

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Jihun Park. Joonyeong Won. "Simply connected Sasaki–Einstein rational homology 5-spheres." Duke Math. J. 170 (6) 1085 - 1112, 15 April 2021. https://doi.org/10.1215/00127094-2020-0085

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Received: 14 October 2019; Revised: 11 August 2020; Published: 15 April 2021

First available in Project Euclid: 8 January 2021

Digital Object Identifier: 10.1215/00127094-2020-0085

Subjects:

Primary: 14J45

Secondary: 32Q20 , 53C25

Keywords: delta-invariant , Fano orbifold , Kähler–Einstein metric , K-stability , link , rational homology 5-sphere , Sasaki–Einstein metric

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