Almost Commuting Elements in Compact Lie Groups by Armand Borel & Robert Friedman & Robert Morgan

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.
`Author(s) :` Armand Borel & Robert Friedman & Robert Morgan	`Format :` Paperback Book
`ISBN-10 :` 0821827928	`ISBN-13 :` 9780821827925
`RRP :` £31.50	`Best available price :` £ / $
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Product Details:

Series Title : Memoirs of the American Mathematical Society S.

Country Publication : United States

Publication Date : 30/05/2002

Publisher : American Mathematical Society

Page Length : 136mm

Page Size : 180mm