P. Salvatore

activity

20242026

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3 papers · 1 filter

math.AT2024

Chain level Koszul duality between the Gravity and Hypercommutative operads

Tommaso Rossi, Paolo Salvatore

Let $M_{0, n + 1}$ be the moduli space of genus zero stable curves with $(n + 1)$ -marked points. The collection $\overline{\mathcal{M}}=\{\overline{\mathcal{M}}_{0,…

math.AT2024

The Atiyah-Sutcliffe conjecture and $E_{n}$ -algebras

Lorenzo Guerra, Paolo Salvatore

We show that a certain conjecture by Atiyah and Sutcliffe implies the existence of an $E_{3}$ -algebra (respectively $E_{2}$ -algebra) structure on the disjoint union of all complex…

math.GT2024

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 $Diff_{\partial} (D^{n})$ of diffeomorphisms of a disc $D^{n}$ relative to…

Chain level Koszul duality between the Gravity and Hypercommutative operads

The Atiyah-Sutcliffe conjecture and En​-algebras

On the smoothing theory delooping of disc diffeomorphism and embedding spaces

The Atiyah-Sutcliffe conjecture and $E_{n}$ -algebras