Complex vector fields and divisible Chern classes

Robert D. Little

Vol. 62 (1976), No. 2, 483–488

DOI: 10.2140/pjm.1976.62.483

Abstract

This paper contains two theorems which relate the maximal number of independent sections of a complex bundle over a manifold to the Chern classes of the bundle and certain functional cohomology operations. The main theoretical result of the paper is a formula which relates the obstruction to a lifting in a fibration and a functional cohomology operation.

Mathematical Subject Classification

Primary: 55G40, 55G40

Secondary: 57D25

Milestones

Received: 12 June 1974

Published: 1 February 1976