A Morse complex on manifolds with boundary

作者:Laudenbach Francois*
来源:Geometriae Dedicata, 2011, 153(1): 47-57.
DOI:10.1007/s10711-010-9555-y

摘要

Given a compact smooth manifold M with non-empty boundary and a Morse function, a pseudo-gradient Morse-Smale vector field adapted to the boundary allows one to build a Morse complex whose homology is isomorphic to the (absolute or relative to the boundary) homology of M with integer coefficients. Our approach simplifies other methods which have been discussed in more specific geometric settings.

  • 出版日期2011-8