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Five Lectures on Topological Field Theory

  • Constantin Teleman
Chapter
  • 643 Downloads
Part of the Advanced Courses in Mathematics - CRM Barcelona book series (ACMBIRK)

Abstract

Topological quantum field theories – TQFTs – arose in physics as the baby (zero energy) sector of honest quantum field theories, which showed an unexpected dependence on the large scale topology of space-time. The zero energy part of the Hilbert space of states does not evolve in time, as by definition it is killed by the Hamiltonian; so, at first sight, its physics appears to be uninteresting. But this argument fails to consider a space-time with interesting topology.

Keywords

Gauge Theory Modulus Space Vector Bundle Line Bundle Homotopy Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Constantin Teleman
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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