1998/11/30 by Charles P. Boyer, Krzysztof Galicki · 1 citation
Mathematics · Physics and Astronomy · #math.DG #hep-th
published as Int.J.Math. 11 (2000) 873-909 · 31 pages, revised and corrected version
arxiv created 2000/12/07 · arxiv updated 2009/11/30
We discuss Sasakian-Einstein geometry under a quasi-regularity assumption. It is shown that the space of all quasi-regular Sasakian-Einstein orbifolds has a natural multiplication on it. Furthermore, necessary and sufficient conditions are given for the `product' of two Sasakian-Einstein manifolds to be a smooth Sasakian-Einstein manifold. Using spectral sequence arguments we work out the cohomology ring in many cases of interest. This type of geometry has recently become of interest in the physics of supersymmetric conformal field theories.