- Turkish Journal of Mathematics
- Vol: 25 Issue: 1
- Topological quantum field theory and hyperkähler geometry
Topological quantum field theory and hyperkähler geometry
Authors : Justin Sawon
Pages : 169-194
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Publication Date : 9999-12-31
Article Type : Makaleler
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".Keywords : Turk. J. Math., 25, (2001), 169-194. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.25, iss.1.