Generalized Mathai-Quillen Topological Sigma Models

Abstract

A simple field theoretical approach to Mathai-Quillen topological field theories of maps X: MI MT from an internal space to a target space is presented. As an example of applications of our formalism we compute by applying our formulas the action and Q-variations of the fields of two well known topological systems: Topological Quantum Mechanics and type-A topological Sigma Model.

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