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Heat Kernel Asymptotics on Symmetric Spaces

Differential Geometry 2008-11-26 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics math.MP Spectral Theory

Abstract

We develop a new method for the calculation of the heat trace asymptotics of the Laplacian on symmetric spaces that is based on a representation of the heat semigroup in form of an average over the Lie group of isometries and obtain a generating function for the whole sequence of all heat invariants.

Keywords

Cite

@article{arxiv.math/0605762,
  title  = {Heat Kernel Asymptotics on Symmetric Spaces},
  author = {Ivan G Avramidi},
  journal= {arXiv preprint arXiv:math/0605762},
  year   = {2008}
}

Comments

20 pages, Proceedings of the Conference "Midwest Geometry Conference 2006", University of Oklahoma, Norman, OK, May 5-7, 2006; References are updated