nLab
Witten index

Witten gave a nonrigorous proof of a remarkable index theorem concerning the Dirac operator on an infinite-dimensional loop space. This discovery is one of the big motivations for introducing the String structures and for search for geometric interpretation of elliptic cohomology.

  • String Coffee Table blog

  • E. Witten, The index of the Dirac operator in loop space, Proc. of Conf. on Elliptic Curves and Modular Forms in Algebraic Topology, Princeton, N.J., Sep 1986.

  • E. Witten, Elliptic genera and quantum field theory, Commun.Math.Phys. 109:525, 1987

Created on April 17, 2010 23:52:03 by Zoran Škoda (193.55.10.104)