Local index formula for SU_q(2)

Abstract

We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula.

18 pages. v2: minor changes; to appear in K-theory

References in corpus (2)

• The Dirac operator on SU_q(2)
• On equivariant Dirac operators for $S{U}_q(2)$

Cited by in corpus (14)

• Inner Fluctuations in Noncommutative Geometry without the first order condition
• The Baum-Connes conjecture for free orthogonal quantum groups
• Local Index Formula on the Equatorial Podles Sphere
• Geometry of Quantum Spheres
• A walk in the noncommutative garden
• Spectral action on SU_q(2)
• Equivariant Fredholm modules for the full quantum flag manifold of $S{U}_q(3)$
• Index Theorem for the $q$-Deformed Fuzzy Sphere
• The local index formula for quantum SU(2)
• Quasi-Dirac Operators and Quasi-Fermions
• Twisted Cyclic Cohomology and Modular Fredholm Modules
• A Chern-Simons action for noncommutative spaces in general with the example SU_q(2)
• The weak heat kernel asymptotic expansion and the quantum double suspension
• Covariant Dirac Operators on Quantum Groups