Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary

Abstract

We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifolds without boundary. Inspired by recent work of Yong Wang, we also address possible generalizations of these conformal invariants to the setting of compact manifolds with boundary.

This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

References in corpus (4)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• Differential Forms and the Wodzicki Residue for Manifolds with Boundary
• Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case
• Differential forms and the Wodzicki residue