2007/11/07 by William J. Ugalde
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math-ph #math.DG #math.MP
paper · pdf · doi:10.3842/sigma.2007.104
published as SIGMA 3 (2007), 104, 18 pages · 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/
arxiv created 2007/11/07 · openalex publication_date 2007/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.