Multiplicative properties of Quinn spectra

Details Multiplicative properties of Quinn spectra Multiplicative properties of Quinn spectra

2009-07-14

arxiv.org/abs/0907.2367v2

Mathematics

Algebraic Topology

52 pages. Appendix added on the Quinn and Thom versions of MTop. Set-theoretic discussions added to show that certain objects

Scientific paper

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.

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