A TOPOLOGICAL LAGRANGIAN FOR MONOPOLES ON FOUR-MANIFOLDS

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

10.1016/0370-2693(95)00411-D

We present a topological quantum field theory which corresponds to the moduli
problem associated to Witten's monopole equations for four-manifolds. The
construction of the theory is carried out in purely geometrical terms using the
Mathai-Quillen formalism, and the corresponding observables are described.
These provide a rich set of new topological quantites.

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