Locally smooth torus group actions on integral cohomology complex projective spaces

Kai Wang

Vol. 94 (1981), No. 1, 243–250

DOI: 10.2140/pjm.1981.94.243

Abstract

Let X be a HCPⁿ which admits a nontrivial smooth S¹ action. Petrie defined and studied a set functions δ_i(m) which are important in the study of local representations. In this paper, we extended Petrie’s result to locally smooth torus group actions on integral cohomology complex projective spaces.

Mathematical Subject Classification 2000

Primary: 57S25

Milestones

Received: 30 October 1978

Revised: 17 October 1979

Published: 1 May 1981