Turkish Journal of Mathematics
Abstract
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 vector 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".
DOI
-
First Page
169
Last Page
194
Recommended Citation
SAWON, J (2001). Topological quantum field theory and hyperkähler geometry. Turkish Journal of Mathematics 25 (1): 169-194. https://doi.org/-
