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- W605409179 abstract "Links of isolated singularities defined by weighted homogeneous polynomials have a natural Sasakian structure. Since it is known that Sasaki-Einstein metrics have positive Ricci curvature, and since positive Sasakian structures give rise to Sasakian metrics with positive Ricci curvature, it is useful to determine which links have a positive Sasakian structure. This corresponds to the Fano index of the associated weighted projective variety being positive. Links of dimension 2n − 1 are (n − 2)connected. In dimension 5, there is a complete classification of simply connected spin manifolds due to Smale [28]. Hypersurface singularities yielding links of dimension 5 have been treated in [3] and [5]. This paper investigates isolated singularities of codimension 2 complete intersections with 5 dimensional links of positive index and provides a complete list up to degree 600, hence a complete (up to degree 600) list of types of links having positive Sasakian structures." @default.
- W605409179 created "2016-06-24" @default.
- W605409179 creator A5005393127 @default.
- W605409179 date "2013-09-05" @default.
- W605409179 modified "2023-09-27" @default.
- W605409179 title "Positive Sasakian Structures on Links of Weighted Complete Intersection Singularities" @default.
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