| Title:
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ALMOST COMMUTING ELEMENTS IN COMPACT LIE GROUPS
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| By: |
Armand Borel, Robert Friedman, John W. Morgan |
| Format: |
Paperback |
| List price:
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£63.95 |
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| ISBN 10: |
0821827928 |
| ISBN 13: |
9780821827925 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 March, 2002 |
| Series: |
Memoirs of the American Mathematical Society No. 157 |
| Pages: |
136 |
| Description: |
We describe 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 te' of the extended Dynkin diagram of the simply connected cover, together with the coroot integers and the action of the fundamental group. |
| Synopsis: |
We describe 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 te' of the extended Dynkin diagram of the simply connected cover, together with the coroot 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. |
| Illustrations: |
diagrams, tables, bibliography |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |