Multiplicative properties of Quinn spectra
Algebraic Topology
2011-03-11 v2 Geometric Topology
Abstract
We give a simple sufficient condition for Quinn's "bordism-type spectra" to be weakly equivalent to strictly associative ring spectra. We also show that Poincare bordism and symmetric L-theory are naturally weakly equivalent to monoidal functors. Part of the proof of these statements involves showing that Quinn's functor from bordism-type theories to spectra lifts to the category of symmetric spectra. We also give a new account of the foundations.
Keywords
Cite
@article{arxiv.0907.2367,
title = {Multiplicative properties of Quinn spectra},
author = {Gerd Laures and James E. McClure},
journal= {arXiv preprint arXiv:0907.2367},
year = {2011}
}
Comments
52 pages. Appendix added on the Quinn and Thom versions of MTop. Set-theoretic discussions added to show that certain objects are really sets and not classes. Various minor technical improvements