collaborators

4 papers

math.SG2026

Shifted lagrangian structures in Poisson geometry

Daniel Álvarez, Henrique Bursztyn, Miquel Cueca

This paper develops new aspects of the interplay between shifted symplectic geometry and classical Poisson geometry, focusing on lagrangian morphisms into 2-shifted symplectic grou…

math.DG2026

A brief introduction to Poisson geometry

Henrique Bursztyn

These notes are based on an introductory minicourse on Poisson geometry given at CRM, Barcelona, in July 2022. They mostly contain foundational material, including motivating quest…

math.SG2026

Poisson cohomology of "book" Poisson structures

Henrique Bursztyn, Hudson Lima

We compute the Poisson cohomology of the linear Poisson structure dual to the n-dimensional "book" Lie algebra, defined by [e_0,e_i]=e_i, [e_i,e_j]=0, for i,j=1,...,n-1.

math.DG2024

A geometric characterization of -manifolds and the Frobenius theorem

Henrique Bursztyn, Miquel Cueca, Rajan Amit Mehta

This paper studies graded manifolds with local coordinates concentrated in non-negative degrees. We provide a canonical description of these objects in terms of classical geometric…