Generalized Arf invariants in algebraic L-theory
Algebraic Topology
2007-05-23 v1
Abstract
The difference between the quadratic L-groups L_*(A) and the symmetric L-groups L^*(A) of a ring with involution A is detected by generalized Arf invariants. The special case A=Z[x] gives a complete set of invariants for the Cappell UNil-groups UNil_*(Z;Z,Z) for the infinite dihedral group D_{\infty}=Z_2*Z_2, extending the results of Connolly and Ranicki (math.AT/0304016) and Connolly and Davis.
Cite
@article{arxiv.math/0304362,
title = {Generalized Arf invariants in algebraic L-theory},
author = {Markus Banagl and Andrew Ranicki},
journal= {arXiv preprint arXiv:math/0304362},
year = {2007}
}
Comments
90 pages, LATEX