Stiefel’s theorem and toral actions

Janey Antonio Daccach and Arthur Gabriel Wasserman

Vol. 112 (1984), No. 2, 293–302

DOI: 10.2140/pjm.1984.112.293

Abstract

The second Stiefel-Whitney class of an orientable manifold admitting an effective codimension three toral action is shown to be Poincaré dual to the fixed point sets of circle subgroups and cyclic subgroups of even order.

Mathematical Subject Classification 2000

Primary: 57S15

Milestones

Received: 17 March 1982

Published: 1 June 1984