Almost commuting elements in compact Lie groups. Memoirs of the American Mathematical Society; 747.

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

ISBN 10: 0821827928 / ISBN 13: 9780821827925

Published by Providence, AMS, 2002

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. R-17558 9780821827925 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2482477

Bibliographic Details

• Title: Almost commuting elements in compact Lie groups. Memoirs of the American Mathematical Society; 747.
• Publisher: Providence, AMS
• Publication Date: 2002
• Language: English
• ISBN 10: 0821827928
• ISBN 13: 9780821827925
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.