Items related to Almost Commuting Elements in Compact Lie Groups

Almost Commuting Elements in Compact Lie Groups - Softcover

Borel, Armand; Friedman, Robert; Morgan, John W.

 
9780821827925: Almost Commuting Elements in Compact Lie Groups

Synopsis

This text describes the components of the moduli space of conjugacy classes of commuting pairs and triples of elements in a compact Lie group. This description is in the extended Dynkin diagram of the simply connected cover, together with the co-root integers and the action of the fundamental group. In the case of three commuting elements, we compute Chern-Simons invariants associated to the corresponding flat bundles over the three-torus, and verify a conjecture of Witten which reveals a surprising symmetry involving the Chern-Simons invariants and the dimensions of the components of the moduli space.

"synopsis" may belong to another edition of this title.