On the generalized Casson invariant

Nov, 1998
28 pages
Published in:
  • Adv.Theor.Math.Phys. 3 (1999) 249-280
e-Print:
Report number:
  • IC-98-192

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Abstract:
The path integral generalization of the Casson invariant as developed by Rozansky and Witten is investigated. The path integral for various three manifolds is explicitly evaluated. A new class of topological observables is introduced that may allow for more effective invariants. Finally it is shown how the dimensional reduction of these theories corresponds to a generalization of the topological B sigma model.
  • path integral
  • Rozansky-Witten model
  • field theory: topological
  • dimensional reduction
  • sigma model
  • supersymmetry
  • torsion
  • duality