Universität zu Köln

Wang, Huan ORCID: 0000-0001-8985-4683 (2016). On the growth of von Neumann dimension of harmonic spaces of semipositive line bundles over covering manifolds. Int. J. Math., 27 (11). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6519

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Abstract

We study the harmonic space of line bundle valued forms over a covering manifold with a discrete group action, and obtain an asymptotic estimate for the von Neumann dimension of the space of harmonic (n, q)-forms with values in high tensor powers of a semipositive line bundle. In particular, we estimate the von Neumann dimension of the corresponding reduced L-2- Dolbeault cohomology group. The main tool is a local estimate of the pointwise norm of harmonic forms with values in semipositive line bundles over Hermitian manifolds.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Wang, Huan UNSPECIFIED orcid.org/0000-0001-8985-4683 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-259216
DOI:	10.1142/S0129167X16500932
Journal or Publication Title:	Int. J. Math.
Volume:	27
Number:	11
Date:	2016
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-6519
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MORSE INEQUALITIES; L-2 Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/25921