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Lorenzo Foscolo : New G2-holonomy cones and exotic nearly Kähler structures on the 6-sphere and the product of two 3-spheres.
Compact 6-dimensional nearly Kähler manifolds are the cross-sections of Riemannian cones with holonomy G2. A long-standing problem has been the question of existence of complete nearly Kähler 6-manifolds besides the four known homogeneous ones. We resolve this problem by proving the existence of exotic (inhomogeneous) nearly Kähler structures on the 6-sphere and on the product of two 3-spheres. This is joint work with Mark Haskins, Imperial College London.
- Category: Geometry and Topology
- Duration: 01:34:50
- Date: January 20, 2015 at 4:25 PM
- Views: 187
- Tags: seminar, Geometry/topology Seminar
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