The Kastler-Kalau-Walze type theorem about Witten deformation for manifolds with boundary

DOI10.1016/J.GEOMPHYS.2018.04.013zbMath1392.53081OpenAlexW2803423468WikidataQ129792057 ScholiaQ129792057MaRDI QIDQ1641877

Kai Hua Bao, Ying Lei

Publication date: 20 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.04.013

zbMATH Keywords

Witten deformationnoncommutative residuelower-dimensional volumesgravitational action

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27)

Related Items (1)

A Kastler-Kalau-Walze Type Theorem for 7-dimensional Manifolds with Boundary about Witten deformation

Cites Work

• Local invariants of spectral asymmetry
• Differential forms and the noncommutative residue for manifolds with boundary in the non-product case
• Gravity and the noncommutative residue for manifolds with boundary
• Differential forms and the noncommutative residue
• The action functional in non-commutative geometry
• The Dirac operator and gravitation
• Gravity, non-commutative geometry and the Wodzicki residue
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• Noncommutative geometry and lower dimensional volumes in Riemannian geometry
• Differential forms and the Wodzicki residue for manifolds with boundary.
• The noncommutative residue for manifolds with boundary
• A note on the Wodzicki residue
• Lower-Dimensional Volumes and Kastler–Kalau–Walze Type Theorem for Manifolds with Boundary
• The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary
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