Five Lectures on Topological Field Theory

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


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.


Gauge Theory Modulus Space Vector Bundle Line Bundle Homotopy Group 
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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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