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Holomorphic Morse inequalities on covering manifolds by Todor, Radu; Chiose, Ionuţ is a scholarly article available to read on EtoBox.

What is Holomorphic Morse inequalities on covering manifolds about?

The goal of this paper is to generalize Demailly's asymptotic holomorphic Morse inequalities to the case of a covering manifold of a compact manifold. We shall obtain estimates which involve Atiyah's ``normalized dimension'' of the square integrable harmonic spaces. The techniques used are those of Shubin who gave a proof for the usual Morse inequalities in the presence of a group action relying on Witten ideas. As a consequence we obtain estimates for the dimension of the square integrable holomorphic sections of the pull-back of a line bundle on the base manifold under some mild hypothesis for the curvature.

Author

Todor, Radu; Chiose, Ionuţ

Published

1998

Language

EN