On the Generalized Casson Invariant

Details On the Generalized Casson Invariant On the Generalized Casson Invariant

1998-11-23

arxiv.org/abs/hep-th/9811199v1

Adv.Theor.Math.Phys. 3 (1999) 249-280

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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.

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