Surgery of involutions with middle-dimensional fixed point set

Karl Heinz Dovermann and Reinhard Schultz

Vol. 130 (1987), No. 2, 275–297

DOI: 10.2140/pjm.1987.130.275

Abstract

Surgery on manifolds with involution is considered when the dimension of the fixed point set is less than or equal to half the dimension of the ambient manifold. As in earlier work of the first author, there are some sharp contrasts with the corresponding results when strict inequality holds. The overall approach is based upon earlier work of the first author, but the results are reformulated in broader contexts reflecting both known and anticipated applications of the underlying ideas.

Mathematical Subject Classification 2000

Primary: 57S17

Secondary: 57R55

Milestones

Received: 15 July 1986

Published: 1 December 1987