Geometry & Topology
- Geom. Topol.
- Volume 8, Number 3 (2004), 1043-1078.
The surgery obstruction groups of the infinite dihedral group
This paper computes the quadratic Witt groups (the Wall –groups) of the polynomial ring and the integral group ring of the infinite dihedral group, with various involutions. We show that some of these groups are infinite direct sums of cyclic groups of order 2 and 4. The techniques used are quadratic linking forms over and Arf invariants.
Geom. Topol., Volume 8, Number 3 (2004), 1043-1078.
Received: 5 June 2003
Accepted: 11 July 2004
First available in Project Euclid: 21 December 2017
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Connolly, Francis X; Davis, James F. The surgery obstruction groups of the infinite dihedral group. Geom. Topol. 8 (2004), no. 3, 1043--1078. doi:10.2140/gt.2004.8.1043. https://projecteuclid.org/euclid.gt/1513883462