Almost commuting elements in compact Lie groups Armand Borel, Robert Friedman, John W. Morgan. Memoirs of the American Mathematical Society 747.

Borel, Armand:

ISBN 10: 0821827928 / ISBN 13: 9780821827925

Published by Providence R.I., American Mathematical Society, 2002

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 22 BOR 9780821827925 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2499157

Bibliographic Details

• Title: Almost commuting elements in compact Lie groups Armand Borel, Robert Friedman, John W. Morgan. Memoirs of the American Mathematical Society 747.
• Publisher: Providence R.I., American Mathematical Society
• 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.