paper

Spectral triples and manifolds with boundary

arXiv:1001.3927 · doi:10.1016/j.jfa.2010.09.006

Abstract

We investigate manifolds with boundary in noncommutative geometry. Spectral triples associated to a symmetric differential operator and a local boundary condition are constructed. For a classical Dirac operator with a chiral boundary condition, we show that there is no tadpole.

18 pages To appear in J. Funct. Anal

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