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The Becker-Gottlieb transfer is not functorial: An example using -algebras
Florian Naef, Robin Stoll
We prove that the Becker-Gottlieb transfer is not functorial, even on rational cohomology. More precisely, for any even , we construct a fibration …
A rational model for the fiberwise THH transfer I: Sullivan algebras
Florian Naef, Robin Stoll
Given a map of fibrations over a space such that the fiber of is simply connected and finitely dominated, we prove that its fiberwise THH transfer, considered as a map…
A rational model for the fiberwise THH transfer II: -algebras
Florian Naef, Robin Stoll
In Part I, we proved that a rational model for the fiberwise THH transfer of a map of fibrations over a base space is given by the Hochschild homology transfer of a cdga model…
Equivariant algebraic models for relative self-equivalences and block diffeomorphisms
Alexander Berglund, Robin Stoll
We construct rational models for classifying spaces of self-equivalences of bundles over simply connected finite CW-complexes relative to a given simply connected subcomplex. Via w…
Higher structures in rational homotopy theory
Alexander Berglund, Robin Stoll
These notes are based on a series of three lectures given (online) by the first named author at the workshop "Higher Structures and Operadic Calculus" at CRM Barcelona in June 2021…