9 citations · 13 across the 6 of their papers we have counts for
7 papers · 1 filter
Around conjectures of N. Kuhn
Nguyen The Cuong, Gérald Gaudens, Geoffrey Powell +1
We discuss two extensions of results conjectured by Nick Kuhn about the non-realization of unstable algebras as the mod singular cohomology of a space, for a prime. The fir…
Relations in the modulo 2 homology of framed disks algebras
Gérald Gaudens
We study the homology structure of spaces having an action of the \emph{framed disks} operad. In particular, we compute the relations between Kudo-Araki operations and generalized…
An Operator model for connective K-theory with reality
Gérald Gaudens, Elke Markert
We construct an explicit model for the connective cover of the spectrum of -theory with reality. This model is a $\ztwo$-equivariant commutative symmetric ring spectrum which id…
The -structure of an additive track category
Gérald Gaudens
We prove that an additive track category with strong coproducts is equivalent to the category of pseudomodels for the algebraic theory of $\nil_2$ groups. This generalizes the clas…
Bocksteins and the nilpotent filtration on the cohomology of spaces
Gerald Gaudens
N Kuhn has given several conjectures on the special features satisfied by the singular cohomology of topological spaces with coefficients in a finite prime field, as modules over t…
Batalin-Vilkovisky algebras and the J-homomorphism
Gerald Gaudens, Luc Menichi
Let X be a topological space. The homology of the iterated loop space is an algebra over the homology of the framed n-disks operad \cite{Getzler:BVAl…