Work

Lie algebroids are curved Lie algebras

Year: 2026

Type: article

Abstract: We show that there is an equivalence of $$\infty $$ ∞ -categories between Lie algebroids and certain kinds of curved Lie algebras. For this we develop a method to study the $$\infty $$ ∞ -category of curved Lie algebras using the homotopy theory of algebras over a complete operad.

Source: Selecta Mathematica

DOI: 10.1007/s00029-026-01158-6

Authors: Damien Calaque, Ricardo Campos, Joost Nuiten

Institutions: Centre National de la Recherche Scientifique, Institut Montpelliérain Alexander Grothendieck, Institut National des Sciences Appliquées de Toulouse

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: European Commission, Agence Nationale de la Recherche, Université de Toulouse