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Commutativity properties of Quinn spectra
Laures, Gerd...
Commutativity properties of Quinn spectra by Laures, Gerd ( Author )
Australian National University
01-08-2023
We give a simple sufficient condition for Quinn's "bordism-type" spectra to be weakly equivalent to commutative symmetric ring spectra. We also show that the symmetric signature is (up to weak equivalence) a monoidal transformation between symmetric monoidal functors, which implies that the Sullivan-Ranicki orientation of topological bundles is represented by a ring map between commutative symmetric ring spectra. In the course of proving these statements we give a new description of symmetric L theory which may be of independent interest.
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Article
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English
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MYR 0.01
1
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http://arxiv.org/abs/1304.4759
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