Parametrized surgery and isotopy

Wu-Chung Hsiang and Richard W. Sharpe

Vol. 67 (1976), No. 2, 401–459

DOI: 10.2140/pjm.1976.67.401

Abstract

The pseudo-isotopy techniques of Cerf-Hatcher-Wagoner are combined with surgery theory to give information about the group of isotopy classes of diffeomorphisms of a smooth manifold. For example, for the n-torus, n ≧ 6, this group is determined completely. We also provide a geometric interpretation of the periodicity sequence of [11].

Mathematical Subject Classification 2000

Primary: 57E05, 57E05

Secondary: 58D05, 57D60

Milestones

Received: 31 October 1975

Published: 1 December 1976