Heat kernel on homogeneous bundles over symmetric spaces

DOI10.1007/s00220-008-0639-6zbMath1180.58013arXivmath/0701489OpenAlexW3098179919MaRDI QIDQ842482

Ivan G. Avramidi

Publication date: 25 September 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701489

zbMATH Keywords

Heat kernelSymmetric spaceHomogeneous bundle

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05)

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One-loop quantum gravity in the Einstein universe ⋮ Effective action and phase transitions in Yang-Mills theory on spheres ⋮ The propagation kernel for strong coupling gravity ⋮ Heat semigroups on Weyl algebra ⋮ Nonperturbative one-loop effective action for electrodynamics in curved space-time ⋮ Low-energy effective action in nonperturbative electrodynamics in curved space-time ⋮ On the application of the matrix formalism for the heat kernel to number theory ⋮ Diagram technique for the heat kernel of the covariant Laplace operator ⋮ Growth of heat trace coefficients for locally symmetric spaces

Cites Work

• Intertwining operators for solving differential equations, with applications to symmetric spaces
• Heat kernel asymptotics on symmetric spaces
• The fundamental solution of the heat equation on a compact Lie group
• The spectral geometry of a Riemannian manifold
• Heat kernel expansion: user's manual
• Integralrelationen Mathieuscher Funktionen. (Integral relation of Mathieu function)
• COVARIANT TECHNIQUES FOR COMPUTATION OF THE HEAT KERNEL
• Index-free heat kernel coefficients
• Covariant algebraic method for calculation of the low-energy heat kernel
• Heat Kernel and Quantum Gravity
• A new algebraic approach for calculating the heat kernel in quantum gravity
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