English

The surgery obstruction groups of the infinite dihedral group

Geometric Topology 2016-05-18 v2 K-Theory and Homology

Abstract

This paper computes the quadratic Witt groups (the Wall L-groups) of the polynomial ring Z[t] 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 Z[t] and Arf invariants.

Keywords

Cite

@article{arxiv.math/0306054,
  title  = {The surgery obstruction groups of the infinite dihedral group},
  author = {Francis X. Connolly and James F. Davis},
  journal= {arXiv preprint arXiv:math/0306054},
  year   = {2016}
}

Comments

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper29.abs.html