The String Coffee Table

Stevenson, Henriques on String(n)

Posted by Urs Schreiber

I am on vacation, and not supposed to be hanging around on the web. But here are two nice links.

Daniel Stevenson has written up some informal notes concerning the String(n)-2-group and the String-gerbe: pdf.

(Disclaimer: Please note that some constant in some cocycle equation in this text might need correction.)

André Henriques has turned his notes on integrating Lie $n$-algebras and how the String group arises as the integration of the String Lie 2-algebra into a paper:

André Henriques
Integrating L-infinity algebras
math.AT/0603563

Abstract:

Given an $n$-term $L_{\mathrm{\infty }}$ algebra $L$, we construct a Kan simplicial manifold which we think of as the ‘Lie $n$-group’ integrating $L$. This extends work of Getzler math.AT/0404003 . In the case of an ordinary Lie algebra, our construction gives the simplicial classifying space of the corresponding simply connect Lie group. In the case of the string Lie 2-algebra of Baez and Crans, this recovers the model of the string group introduced in math.QA/0504123.