2008/11/01 by Charlotte Wahl, Wahl, Charlotte
Mathematics · #19K56 #57R20 #58J32 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #K-Theory and Homology (math.KT) #Spectral Theory in Mathematical Physics #math.DG #math.KT #msc:19K56 #msc:57R20 #msc:58J32
paper · pdf · doi:10.48550/arxiv.0811.0091
33 pages; revised and expanded, for the odd signature class more general definition (depending on a Lagrangian) used
openalex publication_date 2008/11/01 · arxiv created 2009/04/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define generalized Atiyah-Patodi-Singer boundary conditions of product type for Dirac operators associated to C*-vector bundles on the product of a compact manifold with boundary and a closed manifold. We prove a product formula for the K-theoretic index classes, which we use to generalize the product formula for the topological signature to higher signatures.