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Morse theory for manifolds with boudnary
- Speaker(s)
- Maciej Borodzik
- Affiliation
- Uniwersytet Warszawski
- Date
- March 18, 2014, 12:15 p.m.
- Room
- room 4070
- Seminar
- Seminar Algebraic Topology
For a manifold with boundary we study Morse functions which restrict to Morse functions on the boundary. We show in detail that a critical point in the interior can be moved to the boundary and split into two boundary critical points. The same situation can be performed in the embedded case under additional topological assumptions. As an application we can prove that for an embedding M^{2n-1} into S^{2n+1}, where M is closed oriented, the S-equivalence class of the Seifert matrix is an isotopy invariant. This is a joint project with A. Nemethi, A. Ranicki and M. Powell.
