15 citations · 19 across the 11 of their papers we have counts for
7 papers · 1 filter
Analytic approach to -equivariant Morse inequalities
Mostafa E. Zadeh, Reza Moghadasi
It is well known that the cohomology groups of a closed manifold can be reconstructed using the gradient dynamical of a Morse-Smale function . A direct result…
On cut-and-Past invariance of Kervaire semi-characteristic
Mostafa Esfahani Zadeh
In this note we study the relative Kervaire semi-characteristic and prove its invariance under cut-and-past operation. Our approach is analytic and follow very closely the method i…
A note on some classical results of Gromov-Lawson
Mostafa Esfahani Zadeh
In this short note we show how the higher index theory can be used to prove results concerning the non-existence of complete riemannian metric with uniformly positive scalar curvat…
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…
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…
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…