Index Classes for Vector Fields and Their Relation to Certain Characteristic Classes
Artikel i vetenskaplig tidskrift, 2013

While studying vector fields on manifolds with boundary there are three important indexes to consider. We construct three cohomology classes to compute these. We relate these classes to other classes, the relative Euler class as defined by Sharafutdinov and the secondary Chern-Euler class as defined by Sha. Our results also yield a new proof of the Poincare-Hopf index theorem.

Författare

Oskar Hamlet

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Mathematica Scandinavica

0025-5521 (ISSN) 1903-1807 (eISSN)

Vol. 112 2 216-224

Ämneskategorier

Matematik

DOI

10.7146/math.scand.a-15241

Mer information

Senast uppdaterat

2018-10-16