English

Spectral triples and manifolds with boundary

Mathematical Physics 2010-09-30 v2 math.MP

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.

Keywords

Cite

@article{arxiv.1001.3927,
  title  = {Spectral triples and manifolds with boundary},
  author = {Bruno Iochum and Cyril Levy},
  journal= {arXiv preprint arXiv:1001.3927},
  year   = {2010}
}

Comments

18 pages To appear in J. Funct. Anal

R2 v1 2026-06-21T14:37:54.204Z