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Spectral triples and manifolds with boundary |
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| Authors: | B Iochum C Levy |
| Institution: | a Centre de Physique Théorique,11UMR 6207: - Unité Mixte de Recherche du CNRS et des Universités Aix-Marseille I, Aix-Marseille II et de l'Université du Sud Toulon-Var (Aix-Marseille Université); - Laboratoire affilié à la FRUMAM - FR 2291. CNRS-Luminy, Case 907, 13288 Marseille Cedex 9, France b Université de Provence, France c University of Copenhagen, Department of Mathematical Sciences, Universitetsparken 5, DK-2100 Copenhagen, Denmark |
| Abstract: | We investigate manifolds with boundary in noncommutative geometry. Spectral triples associated to a symmetric differential operator and a local boundary condition are constructed. We show that there is no tadpole for classical Dirac operators with a chiral boundary condition on spin manifolds. |
| Keywords: | Boundary pseudodifferential operators Dirac operators Elliptic operators |
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