Rozansky-Witten Weight Systems
نویسنده
چکیده
The pairing can be viewed as giving families of invariants of hyperk\"ahler manifolds or as giving families of 3-manifold invariants. In the first approach, one hopes to derive theorems about the geometry of hyperk\"ahler manifolds (this has been initiated by Hitchin and Sawon). In the second approach, the invariants obtained are finite-type invariants, so their computation factorises into two parts: the computation of the universal finite type invariant of the knot or 3-manifold (Kontsevich integral or LMO invariant) and then the application of a weight system defined by the hyperk\"ahler manifold (and bundle, if necessary).
منابع مشابه
Rozansky-witten Theory
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