The Noncommutative Residue about Witten Deformation View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-04

AUTHORS

Kai Hua Bao, Ai Hui Sun, Chao Deng

ABSTRACT

In this paper, we compute lower dimensional volumes Vol4(1,1)andVol6(2,2) about Witten deformation for 4, 6-dimensional spin manifolds with boundary respectively, and get assosiated Kastler–Kalau–Walze type theorems. We also give theoritic explaination of the gravitational action for 4, 6 dimensional manifolds with boundary by these noncommutative residues.

PAGES

550-568

References to SciGraph publications

  • 1984-02. Local invariants of spectral asymmetry in INVENTIONES MATHEMATICAE
  • 2006-07. Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case in LETTERS IN MATHEMATICAL PHYSICS
  • 2007-04. Gravity and the Noncommutative Residue for Manifolds with Boundary in LETTERS IN MATHEMATICAL PHYSICS
  • 2008-01. Noncommutative Geometry and Lower Dimensional Volumes in Riemannian Geometry in LETTERS IN MATHEMATICAL PHYSICS
  • 1995-01. The dirac operator and gravitation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1992. Heat Kernels and Dirac Operators in NONE
  • 1988-12. The action functional in non-commutative geometry in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10114-018-8069-7

    DOI

    http://dx.doi.org/10.1007/s10114-018-8069-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1111500863


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