SEIBERG–WITTEN INVARIANTS OF RATIONAL HOMOLOGY 3-SPHERES
By Liviu I. Nicolaescu. 2001
53 citations recorded by the source corpus.
We prove that the Seiberg–Witten invariants of a rational homology sphere are determined by the Casson–Walker invariant and the Reidemeister–Turaev torsion.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/7622ad7135b214ba0823661acf3dcb60d58f9295
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- GRADED ROOTS AND SINGULARITIES (2007, background): “For negative definite plumbed 3–manifolds one has ([56, 47]): sw(M, σ) = sw (M, σ) = sw(M,σ).”
- On the Ozsvath-Szabo invariant of negative definite plumbed 3-manifolds (2003, background): “ the Seiberg-Witten invariant. On the other hand, the sign refined Reidemeister-Turaev torsion together with the Casson-Walker invariant also provides a candidate for the Seiberg-Witten invariant, cf. [15]: swTCW M, [k] := −TM, k](1)+ λ(M) |H| , where |H| is the order of H. Our goal is to investigate”