Controlled L-theory
Geometric Topology
2009-03-19 v2 Algebraic Topology
Abstract
We develop an epsilon-controlled algebraic L-theory, extending our earlier work on epsilon-controlled algebraic K-theory. The controlled L-theory is very close to being a generalized homology theory; we study analogues of the homology exact sequence of a pair, excision properties, and the Mayer--Vietoris exact sequence. As an application we give a controlled L-theory proof of the classic theorem of Novikov on the topological invariance of the rational Pontrjagin classes.
Cite
@article{arxiv.math/0402217,
title = {Controlled L-theory},
author = {Andrew Ranicki and Masayuki Yamasaki},
journal= {arXiv preprint arXiv:math/0402217},
year = {2009}
}
Comments
This is the version published by Geometry & Topology Monographs on 22 April 2006