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- W2963501291 abstract "For any perfect fibration $E longrightarrow B$, there is a âfree loop transfer mapâ $LB_+ longrightarrow LE_+$, defined using topological Hochschild homology. We prove that this transfer is compatible with the Becker-Gottlieb transfer, allowing us to extend a result of DorabiaÅa and Johnson on the transfer map in Waldhausenâs $A$-theory. In the case where $E longrightarrow B$ is a smooth fiber bundle, we also give a concrete geometric model for the free loop transfer in terms of Pontryagin-Thom collapse maps. We recover the previously known computations of the free loop transfer due to Schlichtkrull and make a few new computations as well." @default.
- W2963501291 created "2019-07-30" @default.
- W2963501291 creator A5006471625 @default.
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- W2963501291 date "2018-11-27" @default.
- W2963501291 modified "2023-10-18" @default.
- W2963501291 title "The transfer map of free loop spaces" @default.
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- W2963501291 doi "https://doi.org/10.1090/tran/7497" @default.
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