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http://dx.doi.org/10.4134/JKMS.2010.47.1.123

MORSE INEQUALITIES FOR MANIFOLDS WITH BOUNDARY  

Zadeh, Mostafa Esfahani (Georg-August-Universit at Gottingen, Germany and Institute for Advanced Studies in Basic Sciences (IASBS))
Publication Information
Journal of the Korean Mathematical Society / v.47, no.1, 2010 , pp. 123-134 More about this Journal
Abstract
The aim of this paper is to provide a proof for a version of the Morse inequalities 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 the J. Roe account of Witten's approach to Morse Theory.
Keywords
Morse inequalities; Witten's Laplacian; Dirichlet and Neumman boundary conditions;
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