Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary

Details Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary

2007-11-07

arxiv.org/abs/0711.1041v1

SIGMA 3 (2007), 104, 18 pages

Mathematics

Differential Geometry

This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in

Scientific paper

10.3842/SIGMA.2007.104

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.

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