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α-invariant of submanifolds of generalised Bott towers
[The 5th Korea Toric Topology Winter Workshop]
Date: 2019-01-23
Speaker : Hao Li (Fudan University)
Abstract : Stolz theorem states that for a n-dimensional simple connected spin manifold where n  5, it admits a positive scalar curvature if and only if the α-invariant is zero. Weiping Zhang gave an equation to compute the α-invariant of spin complex hypersurfaces. In this talk, I use these tools to construct a family of submanifolds of generalised Bott towers which admit positive scalar curvatures.
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