Multiplicative properties of Quinn spectra
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Gerd Laures
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 Poincaré 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.
Funding source: NSF
The authors benefited from a workshop on forms of homotopy theory held at the Fields Institute. They would like to thank Matthias Kreck for suggesting the problem to the first author and also Carl-Friedrich Bödigheimer, Jim Davis, Steve Ferry, Mike Mandell, Frank Quinn, Andrew Ranicki, John Rognes, Stefan Schwede, Michael Weiss and Bruce Williams for useful hints and helpful discussions. The first author is grateful to the Max Planck Institute in Bonn for its hospitality.
© 2014 by Walter de Gruyter Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Loop homology of spheres and complex projective spaces
- Symmetries of the positive semidefinite cone
- On the distribution of cubic exponential sums
- The tempered spectrum of quasi-split classical groups III: The odd orthogonal groups
- Hyperbolic-sine analogues of Eisenstein series, generalized Hurwitz numbers, and q-zeta functions
- Multiplicative properties of Quinn spectra
- On the crossing number of semiadequate links
- “Spectral implies Tiling” for three intervals revisited
- Mock modular grids and Hecke relations for mock modular forms
Artikel in diesem Heft
- Frontmatter
- Loop homology of spheres and complex projective spaces
- Symmetries of the positive semidefinite cone
- On the distribution of cubic exponential sums
- The tempered spectrum of quasi-split classical groups III: The odd orthogonal groups
- Hyperbolic-sine analogues of Eisenstein series, generalized Hurwitz numbers, and q-zeta functions
- Multiplicative properties of Quinn spectra
- On the crossing number of semiadequate links
- “Spectral implies Tiling” for three intervals revisited
- Mock modular grids and Hecke relations for mock modular forms
