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20142026
most citedThe Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera

10 citations · 32 across the 21 of their papers we have counts for

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math.AT2026

The Becker--Gottlieb transfer is not functorial: An example based on units of group rings

Georg Lehner, Cary Malkiewich, Florian Naef

We show by explicit counterexample that the Becker--Gottlieb transfer cannot be made functorial. A different counterexample using rational homotopy theory was discovered concurrent…

math.AT2026

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 …

math.AT2026

Homotopy Frobenius structures on the cohomology of a manifold

Florian Naef, Thomas Willwacher

We show that the category of lax involutive -Frobenius algebras is Quillen equivalent to the category of right comodules of the -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 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…

math.AT2026

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…

math.AT2024★ 1 cited

Simple homotopy invariance of the loop coproduct

Florian Naef, Pavel Safronov

We prove a transformation formula for the Goresky-Hingston loop coproduct in string topology under homotopy equivalences of manifolds. The formula involves the trace of the Whitehe…