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arXiv · 0807.5115

Delocalized Betti numbers and Morse type inequalities

Mostafa Esfahani Zadeh
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Abstract

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 immediate consequence, we prove the vanishing of delocalized Betti numbers of manifolds fibering over the circle.

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Mostafa Esfahani Zadeh. 2008-08-01. Delocalized Betti numbers and Morse type inequalities. https://arxiv.org/abs/0807.5115

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