Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 3 (2007), 104, 18 pages      arXiv:0711.1041      https://doi.org/10.3842/SIGMA.2007.104
Contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson

Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary

William J. Ugalde
Escuela de Matemática, Universidad de Costa Rica, Código postal 2060 San José, Costa Rica

Received August 06, 2007, in final form October 31, 2007; Published online November 07, 2007

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.

Key words: manifolds with boundary; noncommutative residue; Fredholm module; conformal invariants.

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