∞-Lie theory (higher geometry)
Background
Smooth structure
Higher groupoids
Lie theory
∞-Lie groupoids
∞-Lie algebroids
Formal Lie groupoids
Cohomology
Homotopy
Related topics
Examples
-Lie groupoids
-Lie groups
-Lie algebroids
-Lie algebras
spin geometry, string geometry, fivebrane geometry …
rotation groups in low dimensions:
see also
A string Lie algebroid is a kind of Courant Lie algebroid meant to play the role of higher Atiyah Lie algebroids of principal 2-bundles for the string 2-group.
Yunhe Sheng, Xiaomeng Xu, Chenchang Zhu, String principal bundles and Courant algebroids, International Mathematics Research Notices 2021 7 (2021) 5290–5348 [arXiv:1701.00959, doi:10.1093/imrn/rnz017]
Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler, Holomorphic string algebroids, Trans. Amer. Math. Soc. 373 10 (2020) 7347-7382 [arXiv:1807.10329, doi:10.1090/tran/8149]
Mario Garcia-Fernandez, Roberto Rubio, Carl Tipler, Gauge theory for string algebroids, Journal of Differential Geometry [arXiv:2004.11399, hal:02557365]
Created on January 11, 2024 at 12:37:44. See the history of this page for a list of all contributions to it.