3 papers
math.SG2026
Shifted lagrangian structures in Poisson geometry
Daniel Ãlvarez, 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.SG2026
Morita equivalences, moduli spaces and flag varieties
Daniel Ãlvarez
Double Bruhat cells in a connected complex semisimple Lie group emerged as a crucial concept in the work of S. Fomin and A. Zelevinsky on total positivity and cluster algebras.…
math.DG2025
Symplectic double groupoids and the generalized Kähler potential
Daniel Ãlvarez, Marco Gualtieri, Yucong Jiang
A description of the fundamental degrees of freedom underlying generalized Kähler geometry, which separates its holomorphic moduli from its compatible Riemannian metric in a simil…