7 papers
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…
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…
Batalin-Vilkovisky structures on moduli spaces of flat connections
Anton Alekseev, Florian Naef, Ján Pulmann +1
Let be a compact oriented 2-manifold (possibly with boundary), and let be the linear span of free homotopy classes of closed oriented curves on equipped w…
The kernel of formal polylogarithms
Anton Alekseev, Megan Howarth, Florian Naef +2
Polylogarithmic functions (polylogs) in variables can be viewed as elements of , the dual of the universal enveloping algebra of the Lie algebra $\mathfr…
The Johnson homomorphism, embedding calculus and graph complexes
Florian Naef, Thomas Willwacher
We explain how the Johnson homomorphism and the Enomoto-Satoh trace, as well as higher-loop-order generalizations, can be obtained from graph complexes originating in the Goodwilli…