2009/08/23 by Huitao Feng, Weiping Li, Feng, Huitao +4
Mathematics · #53C05 #57R20 #58A10 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.DG #math.GT #msc:53C05 #msc:57R20 #msc:58A10
paper · pdf · doi:10.48550/arxiv.0908.3335
10 pages
openalex publication_date 2009/08/23 · arxiv created 2010/06/11 · arxiv updated 2010/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For two complex vector bundles admitting a homomorphism with isolated singularities between them, we establish a Poincaré-Hopf type formula for the difference of the Chern character numbers of these two vector bundles. As a consequence, we extend the original Poincaré-Hopf index formula to the case of complex vector fields (to appear in Mathematische Zeitschrift)