9780821840627
Geometric and topological methods for quantum field theory; proceedings.
Summer School on Geometric and Topological Methods for Quantum Field Theory (2005: Villa de Layva, Colombia) Ed. by S. Paycha and B. Uribe.
American Mathematical Society
2007
255 pages
$79.00
Paperback
Contemporary mathematics; 434
QC174
Based upon lectures and other communications at the July 2005 summer school, this introduces readers to some recent developments in active research on the interface between geometry, topology and quantum field theory. In five survey lectures the contributors cover anomalies and noncommutative geometry, deformation quantization and Poisson algebras, and topological quantum field theory and orbifolds. These are followed by nine cutting-edge articles with topics including n-flat connections, Dirac equations in a black hole background, homological matrices, quantitative properties of stratified flows, property (T) and tensor products by certain irreducible finite dimensional representations, Painleve equations for invariant instantons, quantum statistical mechanics and class field theory, Kashiwara's quantization of complex contact manifolds and K-theoretic labeling for quasicrystals.
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