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Mathai–Quillen formalism

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In mathematics, the Mathai–Quillen formalism is an approach to topological quantum field theory introduced by Atiyah and Jeffrey (1990), based on the Mathai–Quillen form constructed in Mathai and Quillen (1986).

References

  • Atiyah, Michael Francis; Jeffrey, L. (1990), "Topological Lagrangians and cohomology", Journal of Geometry and Physics, 7 (1): 119–136, Bibcode:1990JGP.....7..119A, doi:10.1016/0393-0440(90)90023-V, ISSN 0393-0440, MR 1094734
  • Blau, Matthias (1993), "The Mathai-Quillen formalism and topological field theory", Journal of Geometry and Physics, 11 (1): 95–127, arXiv:hep-th/9203026, Bibcode:1993JGP....11...95B, doi:10.1016/0393-0440(93)90049-K, ISSN 0393-0440, MR 1230422
  • Mathai, Varghese; Quillen, Daniel (1986), "Superconnections, Thom classes, and equivariant differential forms", Topology. An International Journal of Mathematics, 25 (1): 85–110, doi:10.1016/0040-9383(86)90007-8, ISSN 0040-9383, MR 0836726