Morse theory interpretation of topological quantum field theories

@article{Labastida1989MorseTI,
title={Morse theory interpretation of topological quantum field theories},
author={Jos{\'e} M. F. Labastida},
journal={Communications in Mathematical Physics},
year={1989},
volume={123},
pages={641-658}
}

Topological quantum field theories are interpreted as a generalized form of Morse theory. This interpretation is applied to formulate the simplest topological quantum field theory: topological quantum mechanics. The only non-trivial topological invariant corresponding to this theory is computed and identified with the Euler characteristic. Using field theoretical methods this topological invariant is calculated in different ways and in the process a proof of the Gauss-Bonnet-Chern-Avez formula… Expand

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