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Obstructions to the Existence of Sasaki-Einstein Metrics / Gauntlett, Jerome P. (Imperial Coll., London) ; Martelli, Dario (CERN) ; Sparks, James (Harvard U., Dept. Math. ; Harvard U., Phys. Dept.) ; Yau, Shing-Tung (Harvard U., Dept. Math.)
We describe two simple obstructions to the existence of Ricci-flat Kahler cone metrics on isolated Gorenstein singularities or, equivalently, to the existence of Sasaki-Einstein metrics on the links of these singularities. In particular, this also leads to new obstructions for Kahler-Einstein metrics on Fano orbifolds. [...]
hep-th/0607080; IMPERIAL-TP-2006-JG-01; CERN-PH-TH-2006-129; HUTP-06-A0018; CERN-PH-TH-2006-129; HUTP-2006-A-0018; IMPERIAL-TP-2006-JG-01.- Geneva : CERN, 2007 - 35 p. - Published in : Commun. Math. Phys. 273 (2007) 803-827 Access to fulltext document: PDF; Fulltext: PDF; External link: Preprint

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