Abelian Chern-Simons theory and contact torsion

Research output: Working paperResearch

  • Brendan Donald Kenneth McLellan, Denmark
Chern-Simons theory on a closed contact three-manifold is studied when the Lie group for gauge transformations is compact, connected and abelian. A shift reduced abelian Chern-Simons partition function is introduced using an alternative formulation of the partition function using formal ideas in quantum field theory. We compare the shift reduced partition function with other formulations of the abelian Chern-Simons partition function. This study naturally motivates an Atiyah-Patodi-Singer type index problem in contact geometry.
Original languageEnglish
Number of pages35
Publication statusPublished - 15 Mar 2013

    Research areas

  • Chern-Simons theory, Contact geometry, Index theorem, Contact analytic torsion

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