Rozansky-witten Theory
نویسنده
چکیده
Rozansky and Witten proposed in 1996 a family of new three-dimensional topological quantum field theories, indexed by compact (or asymptotically flat) hyperkähler manifolds. As a byproduct they proved that hyperkähler manifolds also give rise to Vassiliev weight systems. These may be thought of as invariants of hyperkähler manifolds, so the theory is of interest to geometers as well as to low-dimensional topologists. This paper surveys the geometrical construction of the weight systems, how they may be integrated into the framework of Lie algebra weight systems (joint work with Simon Willerton), their applications, and an approach to a rigorous construction of the TQFTs (joint work with Justin Sawon and Simon Willerton).
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تاریخ انتشار 2001