Abstract
We announce the construction of a deformation of the Dirac operator on a compact spin manifold into a hypoelliptic Dirac operator on the total space of the tangent space. This construction gives an analogue for the Dirac operator of a related deformation we already gave for the de Rham complex. For simplicity, we only explain the construction in the case of complex manifolds. We define hypoelliptic Quillen metrics, which we compare to the classical Quillen metrics. To cite this article: J.-M. Bismut, C. R. Acad. Sci. Paris, Ser. I 343 (2006).
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 callDisclaimer: 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.
