Topological quantum field theory and hyperkähler geometry
Abstract
Description
Rozansky and Witten proposed a 3-dimensional sigma-model whose target space is a hyperkähler manifold. They conjectured that this theory has an associated TQFT, with Hilbert spaces given by certain cohomology groups of the hyperkähler manifold. On the other hand, there is a certain modified TQFT constructed by Murakami and Ohtsuki using the universal quantum invariant. We explain how the Rozansky-Witten TQFT can be obtained from the latter by applying a `hyperkähler weight system'.
LaTeX, 26 pages, 13 figures; submitted to Proceedings of 7th Gokova Geometry-Topology Conference (2000), uses gokova.cls and goksty.tex
LaTeX, 26 pages, 13 figures; submitted to Proceedings of 7th Gokova Geometry-Topology Conference (2000), uses gokova.cls and goksty.tex