Abstract

Let M be a compact oriented n-dimensional manifold without boundary. The theorem asserts that an n+-summable real geometry over the algebra C∞(M) determines a unique spin structure on M; and that, among all abstract spin geometries in the sense of Section 10.5, compatible with that structure, the one determined by the Dirac operator is singled out by a variational principle.KeywordsDirac OperatorVolume FormSpin StructurePseudodifferential OperatorSelfadjoint OperatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.