Vortex Filament in Three-manifold and the Duistermaat-Heckman Formula
arXiv:hep-th/9508118 · doi:10.1016/0375-9601(95)00906-X
Abstract
Symplectic geometry of the vortex filament in a curved three-manifold is investigated. There appears an infinite sequence of constants of motion in involution in the case of constant curvature. The Duistermaat-Heckman formula is examined perturbatively for the classical partition function in our model and verified up to the 3-loop order.
Revised to include Figure2 (a PostScript file). 15 pages, LaTex2e, 2 figures
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