Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori

DOI10.1016/j.geomphys.2018.02.014zbMath1390.58016arXiv1707.09657OpenAlexW2741900277MaRDI QIDQ1748208

Bruno Iochum, Thierry Masson

Publication date: 9 May 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09657

zbMATH Keywords

scalar curvatureheat kernelnoncommutative torusLaplace type operatorasymptotic heat tracenonminimal operator

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Yang-Mills and other gauge theories in quantum field theory (81T13) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37) Second-order elliptic systems (35J47)

Related Items

Heat coefficient \(a_4\) for non minimal Laplace type operators, Spectral metric and Einstein functionals, Effective actions in supersymmetric gauge theories: heat kernels for non-minimal operators, Noncommutative residue and canonical trace on noncommutative tori. Uniqueness results, Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

Uses Software

• Mathematica

Cites Work

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