BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Surgery and Positive scalar curvature Frenck, Georg


The Gromov-Lawson surgery theorem builds a connection between surgery theory and positive scalar curvature of manifolds. I will sketch the proof of this theorem. The technique developed by Gromov and Lawson allows one to further analyse how the space of Riemannian metrics of positive scalar curvature behaves under surgery. This will lead to a generalisation of Gromov-Lawson's theorem. At last I will describe how to connect the dimension restrictions coming from the surgery theorems to bordism theory.

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