On the Relationship between the Rozansky-Witten and the 3-Dimensional Seiberg-Witten Invariants

@inproceedings{Blau2008OnTR,
  title={On the Relationship between the Rozansky-Witten and the 3-Dimensional Seiberg-Witten Invariants},
  author={Matthias Blau and George Thompson},
  year={2008}
}
The Seiberg-Witten analysis of the low-energy effective action of d = 4 N = 2 SYM theories reveals the relation between the Donaldson and Seiberg-Witten (SW) monopole invariants. Here we apply analogous reasoning to d = 3 N = 4 theories and propose a general relationship between Rozansky-Witten (RW) and 3dimensional Abelian monopole invariants. In particular, we deduce the equality of the SU(2) Casson invariant and the 3-dimensional SW invariant (this includes a special case of the Meng-Taubes… CONTINUE READING

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