Vector fields and equivariant bundles

Ersan Akyildiz

Vol. 81 (1979), No. 2, 283–289

DOI: 10.2140/pjm.1979.81.283

Abstract

We introduce a new method which gives an easy computation of the Chern classes of V -equivariant bundles on the zero set of the holomorphic vector field V . By using this method we obtain the theorem of Riemann-Roch and Hirzebruch for V -equivariant bundles from the holomorphic Lefschetz fixed point formula in case V has arbitrary isolated zeros.

Mathematical Subject Classification 2000

Primary: 32L10

Secondary: 58C30

Milestones

Received: 18 December 1977

Revised: 14 August 1978

Published: 1 April 1979