Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/20026

Title: The local counting function of operators of Dirac and Laplace type
Authors: Li, Liangpan
Strohmaier, Alexander
Issue Date: 2016
Publisher: © Elsevier
Citation: LI, L. and STROHMAIER, A., 2016. The local counting function of operators of Dirac and Laplace type. Journal of Geometry and Physics, 104, pp. 204-228.
Abstract: Let P be a non-negative self-adjoint Laplace type operator acting on sections of a hermitian vector bundle over a closed Riemannian manifold. In this paper we review the close relations between various P-related coefficients such as the mollified spectral counting coefficients, the heat trace coefficients, the resolvent trace coefficients, the residues of the spectral zeta function as well as certain Wodzicki residues. We then use the Wodzicki residue to obtain results about the local counting function of operators of Dirac and Laplace type. In particular, we express the second term of the mollified spectral counting function of Dirac type operators in terms of geometric quantities and characterize those Dirac type operators for which this coefficient vanishes.
Description: This paper was accepted for publication in the journal Journal of Geometry and Physics and the definitive published version is available at http://dx.doi.org/10.1016/j.geomphys.2016.02.006
Version: Accepted for publication
DOI: 10.1016/j.geomphys.2016.02.006
URI: https://dspace.lboro.ac.uk/2134/20026
Publisher Link: http://dx.doi.org/10.1016/j.geomphys.2016.02.006
Appears in Collections:Published Articles (Maths)

Files associated with this item:

File Description SizeFormat
1-s2.0-S0393044016300262-main.pdfAccepted version532.39 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.