nLab infinity-Lie theory

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.

Related concepts

• higher structures

• higher differential geometry

  • motivation for higher differential geometry

References

For much more see the references at integration of L-infinity algebras and also fundamental theorem of dg-algebraic rational homotopy theory.

• Daniel Robert-Nicoud, Bruno Vallette: Higher Lie theory [arXiv:2010.10485]

in positive characteristic:

• Victor Roca i Lucio: Higher Lie theory in positive characteristic [arXiv:2306.07829]