Morse inequalities for manifolds with boundary

Details Morse inequalities for manifolds with boundary Morse inequalities for manifolds with boundary

2008-07-31

arxiv.org/abs/0807.5122v2

Mathematics

Differential Geometry

A comment is added at the end of the Introduction.

Scientific paper

The aim of this paper is to provide a proof for a version of Morse inequality
for manifolds with boundary. Our main results are certainly known to the
experts on Morse theory, nevertheless it seems necessary to write down a
complete proof for it. Our proof is analytic and is based on J. Roe's account
of Witten's approach to Morse Theory.

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