Almost Commuting Elements in Compact Lie Groups is popular PDF and ePub book, written by Armand Borel in 2002, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Almost Commuting Elements in Compact Lie Groups can be Read Online from any device for your convenience.
Almost Commuting Elements in Compact Lie Groups Book PDF Summary
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.
Detail Book of Almost Commuting Elements in Compact Lie Groups PDF
- Author : Armand Borel
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821827925
- Genre : Mathematics
- Total Page : 153 pages
- Language : English
- PDF File Size : 21,9 Mb
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