Almost Commuting Elements in Compact Lie Groups
Price for Eshop: 2496 Kč (€ 99.8)
VAT 0% included
New
E-book delivered electronically online
E-Book information
Annotation
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 terms 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.
Ask question
You can ask us about this book and we'll send an answer to your e-mail.