Dirac operators with torsion and the noncommutative residue for manifolds with boundary

DOI10.1016/j.geomphys.2014.03.007zbMath1290.83055arXiv1303.3713OpenAlexW2031212993MaRDI QIDQ2448262

Chunling Yang, Jian Wang, Yong Wang

Publication date: 30 April 2014

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

Full work available at URL: https://arxiv.org/abs/1303.3713

zbMATH Keywords

noncommutative residueDirac operators with torsiongravitational action for manifolds with boundaryorthogonal connection with torsion

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Methods of noncommutative geometry in general relativity (83C65)

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Moduli spaces of oriented Type A manifolds of dimension at least 3 ⋮ The moduli space of type \(\mathcal{A}\) surfaces with torsion and non-singular symmetric Ricci tensor ⋮ A Kastler-Kalau-Walze type theorem for 7-dimensional spin manifolds with boundary about Dirac operators with torsion ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue ⋮ A Kastler-Kalau-Walze Type Theorem for 7-dimensional Manifolds with Boundary about Witten deformation ⋮ Sub-signature operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary ⋮ A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary

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