Topological quantum field theory and hyperkähler geometry

Details Topological quantum field theory and hyperkähler geometry Topological quantum field theory and hyperkähler geometry

2000-09-25

arxiv.org/abs/math/0009222v1

Turkish J. Math. 25 (2001), no. 1, 169-194

Mathematics

Quantum Algebra

LaTeX, 26 pages, 13 figures; submitted to Proceedings of 7th Gokova Geometry-Topology Conference (2000), uses gokova.cls and g

Scientific paper

Rozansky and Witten proposed a 3-dimensional sigma-model whose target space is a hyperk\"ahler manifold. They conjectured that this theory has an associated TQFT, with Hilbert spaces given by certain cohomology groups of the hyperk\"ahler 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 `hyperk\"ahler weight system'.

Affiliated with

Also associated with

No associations

Rating

Topological quantum field theory and hyperkähler geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological quantum field theory and hyperkähler geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological quantum field theory and hyperkähler geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482940