L. Guerra

activity

20172023

collaborators

3 papers

math.AT2023

The mod-2 cohomology groups of low-dimensional unordered flag manifolds and Auerbach bases

Lorenzo Guerra, Santanil Jana, Arun Maiti

Unordered flag manifolds are the manifolds of unordered $n$ -tuple of mutually orthogonal lines in $R^{n}$ . In this paper, we develop some basic tools to compute the mod- $2$ …

math.AT2020

On a notion of homotopy Segal $E_{\infty}$ -Hopf cooperad

Benoit Fresse, Lorenzo Guerra

We define a notion of homotopy Segal cooperad in the category of $E_{\infty}$ -algebras. This model of Segal cooperad that we define in the paper, which we call homotopy Segal $ E_\…

math.AT2017

The mod 2 cohomology of the infinite families of Coxeter groups of type B and D as almost Hopf rings

Lorenzo Guerra

We describe a Hopf ring structure on the direct sum of the cohomology groups $⨁_{n \geq 0} H^{*} (W_{B_{n}}; F_{2})$ of the Coxeter groups of type $B_{n}$ , an…

The mod-2 cohomology groups of low-dimensional unordered flag manifolds and Auerbach bases

On a notion of homotopy Segal E∞​-Hopf cooperad

The mod 2 cohomology of the infinite families of Coxeter groups of type B and D as almost Hopf rings

On a notion of homotopy Segal $E_{\infty}$ -Hopf cooperad