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Published in:
2016 | OriginalPaper | Chapter
Five Lectures on Topological Field Theory
Author : Constantin Teleman
Published in: Geometry and Quantization of Moduli Spaces
Publisher: Springer International Publishing
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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.