Florian Naef

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math.AT2026

Homotopy Frobenius structures on the cohomology of a manifold

Florian Naef, Thomas Willwacher

We show that the category of lax involutive $n$ -Frobenius algebras is Quillen equivalent to the category of right comodules of the $n$ -Poisson cooperad. It follows in particular, t…

math.AT2026

A rational model for the fiberwise THH transfer I: Sullivan algebras

Florian Naef, Robin Stoll

Given a map $f$ of fibrations over a space $B$ such that the fiber of $f$ is simply connected and finitely dominated, we prove that its fiberwise THH transfer, considered as a map…

math.AT2026

A rational model for the fiberwise THH transfer II: $A_{\infty}$ -algebras

Florian Naef, Robin Stoll

In Part I, we proved that a rational model for the fiberwise THH transfer of a map $f$ of fibrations over a base space is given by the Hochschild homology transfer of a cdga model…

Homotopy Frobenius structures on the cohomology of a manifold

A rational model for the fiberwise THH transfer I: Sullivan algebras

A rational model for the fiberwise THH transfer II: A∞​-algebras

A rational model for the fiberwise THH transfer II: $A_{\infty}$ -algebras