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MATHEMATICAL METHODS IN PHYSICS
Proceedings of the 1999 Londrina Winter School
State University of Londrina, Brazil 17 - 26 August 1999
edited by Andrei A Bytsenko (St. Petersburg State Technical University, Russia) & Floyd L Williams (University of Massachusetts, USA)
This volume contains discussions on group representations of SL(2,R) and automorphic forms, with applications of the Selberg trace formula to the Landau spectrum for a uniform magnetic field on a Riemann surface, on particle creation in the early universe, Chern–Simons gauge theory on 3-manifolds, path integral representation of fractional spin particles, eta and zeta functions and Dirac operators, Schrödinger operators with periodic potential, elliptic genera for SUSY sigma models, quantum fields on curved space–times, black holes, and some discussions on string theory and quantum gravity.
Contents:
- Introduction to Chern–Simons Gauge Theory on General 3-Manifolds
(D H Adams)
- Casimir Energy and Thermodynamic Properties of the Relativistic Piecewise Uniform String (I Brevik & A A Bytsenko)
- Chern–Simons Invariants of Closed Hyperbolic 3-Manifolds (A A Bytsenko et al.)
- Asymptotics of Elliptic Genera and Dyonic Black Hole Degeneracy (A A Bytsenko & Z G Kuznetsova)
- On Anyonic Propagators (W Da Cruz)
- On the Global Quasimomentum in Solid State Physics (N E Firsova)
- Particle Creation and Space-Time of the Early Universe (A A Grib)
- A Brief Introduction to String Theory — The Origin of the Graviton (D Kastor)
- An Introduction to Black Hole Evaporation (J Traschen)
- Group Representations, Landau Spectra, and Magnetic Zeta Functions (F L Williams)
- Dirac Functional Determinants, Eta Invariant and the Multiplicative Anomaly (S Zerbini)
Readership: Graduate students, professors and researchers in mathematics and
physics.
| 232pp |
Pub. date: Apr 2000 |
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