Seminarium z Topologii Algebraicznej
Wtorki, 12:15-13:45, sala 4070
18.III.2014
Maciej Borodzik
Morse theory for manifolds with boudnary
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
Strona seminarium