5 papers
Surgery on manifold operads
Xujia Chen, Connor Malin, Paolo Salvatore
We study cobordisms of a class of topological operads called ``manifold operads''. These operads are generalizations of the Fulton-MacPherson operad: an operad built from configura…
On the smoothing theory delooping of disc diffeomorphism and embedding spaces
Paolo Salvatore, Victor Turchin
The celebrated Morlet-Burghelea-Lashof-Kirby-Siebenmann smoothing theory theorem states that the group of diffeomorphisms of a disc relative to…
Non collapse of the Sinha spectral sequence for knots in R^3
Andrea Marino, Paolo Salvatore
We give an explicit description up to the third page of the Sinha homology mod 2 spectral sequence for the space of long knots in , that is conjecturally equivalent t…
Chain level Koszul duality between the Gravity and Hypercommutative operads
Tommaso Rossi, Paolo Salvatore
Let be the moduli space of genus zero stable curves with -marked points. The collection $\overline{\mathcal{M}}=\{\overline{\mathcal{M}}_{0,…
The Atiyah-Sutcliffe conjecture and -algebras
Lorenzo Guerra, Paolo Salvatore
We show that a certain conjecture by Atiyah and Sutcliffe implies the existence of an -algebra (respectively -algebra) structure on the disjoint union of all complex…