2009/12/24 by Ulrich Bunke, Niko Naumann, Bunke, Ulrich +1 · 1 voice
Mathematics · Physics and Astronomy · #58J26 #58J86 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:58J26 #msc:58J86
paper · pdf · doi:10.48550/arxiv.0912.4875
56 pages, 2 pictures
arxiv created 2009/12/24 · openalex publication_date 2009/12/24 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using spectral invariants of Dirac operators we construct a secondary version of the Witten genus, a bordism invariant of string manifolds in dimensions 4m-1. We prove a secondary index theorem which relates this global-analytic construction with its homotopy-theoretic analog. The latter will be calculated through its factorization over topological modular forms.