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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: Closed access until 19 February 2017
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:Closed Access (Maths)

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