A categorification of quantum

  • Mikhail Khovanov

    Columbia University, New York, USA
  • Aaron D. Lauda

    University of Southern California, Los Angeles, United States


To an arbitrary root datum we associate a 2-category. For root datum corresponding to sl(n) we show that this 2-category categorifies the idempotented form of the quantum enveloping algebra.

A correction to this paper is available.

Cite this article

Mikhail Khovanov, Aaron D. Lauda, A categorification of quantum . Quantum Topol. 1 (2010), no. 1, pp. 1–92

DOI 10.4171/QT/1