3 papers
math.DG2008
Delocalized Betti numbers and Morse type inequalities
Mostafa Esfahani Zadeh
In this paper we state and prove Morse type inequalities for Morse functions as well as for closed differential 1-forms. These inequalities involve delocalized Betti numbers. As an…
math.DG2008
Morse inequalities for manifolds with boundary
Mostafa Esfahani Zadeh
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, neve…
math.DG2008
Heat equation approach to index theorems on odd dimensional manifolds
M. E. Zadeh
D.Freed has formulated and proved an index theorem on odd dimensional spin manifolds with boundary. The proof is based on analysis by Calderon and Seeley. In this note we are going…