arXiv Analytics

Sign in

arXiv:2101.03595 [math.DG]AbstractReferencesReviewsResources

A note on invertibility of the Dirac operator twisted with Hilbert-A-module coefficients

Thomas Schick

Published 2021-01-10Version 1

Given a closed connected spin manifold M with non-negative and somewhere positive scalar curvature, we show that the Dirac operator twisted with any flat Hilbert module bundle is invertible.

Comments: 3 pages
Categories: math.DG, math.GT
Related articles: Most relevant | Search more
arXiv:2109.09806 [math.DG] (Published 2021-09-20)
Dirac operators on foliations with invariant transverse measures
arXiv:math/9910052 [math.DG] (Published 1999-10-09, updated 2000-01-09)
Submanifold Differential Operators in $\Cal D$-Module Theory II: Generalized Weierstrass and Frenet-Serret Relations as Dirac Equations
arXiv:math/0112175 [math.DG] (Published 2001-12-18, updated 2005-12-21)
Analytic Surgery of the zeta-determinant of the Dirac operator

Links

Toolbox