Perturbative Chern-Simons theory revisited

Research output: Working paperResearch

  • Brendan Donald Kenneth McLellan, Denmark
We reconsider perturbative Chern-Simons theory on a closed and oriented three-manifold with a choice of contact structure following C. Beasley and E. Witten. Closed three manifolds that admit a Sasakian structure are explicitly computed to first order in perturbation in terms of their Seifert data. The general problem of extending this work to arbitrary three-manifolds is presented and some initial observations are made. Mathematically, this article is closely related to the work of Rumin and Seshadri and an index type theorem in the contact geometric setting.
Original languageEnglish
Number of pages40
Publication statusPublished - 15 Mar 2013

    Research areas

  • Chern-Simons theory, Contact geometry, Sasakian geometry, Seifert geometry, Refined contact analytic torsion

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