Quasi-Dirac Operators and Quasi-Fermions

Abstract

We investigate examples of quasi-spectral triples over two-dimensional commutative sphere, which are obtained by modifying the order-one condition. We find equivariant quasi-Dirac operators and prove that they are in a topologically distinct sector than the standard Dirac operator.

11 pages

References in corpus (4)

• The Dirac operator on SU_q(2)
• Local index formula for SU_q(2)
• On the spectral characterization of manifolds
• Twisted Dirac Operators over Quantum Spheres

Cited by in corpus (1)

• Notes on "quantum gravity" and non-commutative geometry