Computation of the surgery obstruction groups L_4k(1;Z_P)

Gerald Arthur Anderson

Vol. 74 (1978), No. 1, 1–4

DOI: 10.2140/pjm.1978.74.1

Abstract

The 4k-dimensional simply connected surgery obstruction group with coefficients Z_P (i.e., the group of nonsingular even quadratic forms over Z_P) is computed in terms of the classical Witt group and a Gauss sum invariant.

Mathematical Subject Classification

Primary: 57D65, 57D65

Milestones

Received: 28 December 1976

Revised: 11 August 1977

Published: 1 January 1978