Delocalized Betti numbers and Morse type inequalities

Details Delocalized Betti numbers and Morse type inequalities Delocalized Betti numbers and Morse type inequalities

2008-07-31

arxiv.org/abs/0807.5115v2

Mathematics

Differential Geometry

Scientific paper

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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