2 citations · 4 across the 5 of their papers we have counts for
5 papers
Operads and chain rules for the calculus of functors
Gregory Arone, Michael Ching
We study the structure possessed by the Goodwillie derivatives of a pointed homotopy functor of based topological spaces. These derivatives naturally form a bimodule over the opera…
Augmented Gamma-spaces, the stable rank filtration, and a bu-analogue of the Whitehead Conjecture
Gregory Arone, Kathryn Lesh
We explore connections between our earlier work, in which we constructed spectra that interpolate between bu and HZ, and earlier work of Kuhn and Priddy on the Whitehead conjecture…
Coformality and the rational homotopy groups of spaces of long knots
Gregory Arone, Pascal Lambrechts, Victor Tourtchine +1
We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in , where , collapses at the p…
Calculus of functors, operad formality, and rational homology of embedding spaces
Gregory Arone, Pascal Lambrechts, Ismar Volic
Let M be a smooth manifold and V a Euclidean space. Let Ebar(M,V) be the homotopy fiber of the map from Emb(M,V) to Imm(M,V). This paper is about the rational homology of Ebar(M,V)…
A note on the homology of , the Schwartz genus, and solving polynomial equations
Gregory Arone
We calculate a certain homological obstruction introduced by De Concini, Procesi and Salvetti in their study of the Schwartz genus of the fibration from the space of ordered config…