nLab
infinity-Lie theory

Context

\infty-Lie theory

∞-Lie theory (higher geometry)

Background

Smooth structure

Higher groupoids

Lie theory

∞-Lie groupoids

∞-Lie algebroids

Formal Lie groupoids

Cohomology

Homotopy

Examples

\infty-Lie groupoids

\infty-Lie groups

\infty-Lie algebroids

\infty-Lie algebras

Contents

Idea

Higher Lie theory is the refinement of Lie theory to higher geometry (higher differential geometry). It studies smooth ∞-groupoids and L-∞ algebroids and their relation via Lie integration and Lie differentiation.

Revised on April 1, 2016 20:19:55 by Hiram Archer? (184.167.197.59)