Heat trace for Laplace type operators with non-scalar symbols

DOI10.1016/j.geomphys.2017.01.014zbMath1373.58013arXiv1607.06070OpenAlexW2492268778MaRDI QIDQ2400286

Thierry Masson, Bruno Iochum

Publication date: 28 August 2017

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

Full work available at URL: https://arxiv.org/abs/1607.06070

zbMATH Keywords

heat kernelLaplace 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) Second-order elliptic systems (35J47)

Related Items (6)

Twisted spectral triple for the standard model and spontaneous breaking of the grand symmetry ⋮ Gauss-Bonnet for matrix conformally rescaled Dirac ⋮ Heat coefficient \(a_4\) for non minimal Laplace type operators ⋮ Effective actions in supersymmetric gauge theories: heat kernels for non-minimal operators ⋮ Curvature in noncommutative geometry ⋮ Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori

Cites Work

• Divided differences in noncommutative geometry: rearrangement lemma, functional calculus and expansional formula
• Symbolic computation of DeWitt-Seeley-Gilkey coefficients on curved manifolds
• A discrete leading symbol and spectral asymptotics for natural differential operators
• Nonminimal operators and non-commutative residue
• Modular curvature for noncommutative two-tori
• Heat Kernel Method and its Applications
• A note on the heat kernel coefficients for nonminimal operators
• Heat equation asymptotics of ‘‘nonminimal’’ operators on differential forms
• HEAT KERNEL ASYMPTOTICS OF OPERATORS WITH NON-LAPLACE PRINCIPAL PART
• Heat kernel for nonminimal operators on a Kähler manifold
• Heat Equation Asymptotics of Elliptic Operators with Non-scalar Leading Symbol
• Invariants of the heat equation for non-minimal operators
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