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Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary

By William J. Ugalde

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

Topics: manifolds with boundary, noncommutative residue, Fredholm module, conformal invariants, Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: National Academy of Science of Ukraine
Year: 2007
OAI identifier: oai:doaj.org/article:5583697a278048b892aeb9d2f23bbf8f
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