We show that the Seiberg-Witten invariants of a lens space determine and are determined by its Casson-Walker invariant and its Reidemeister-Turaev torsion.

Keywords:

lens spaces, Seifert manifolds, Seiberg-Witten invariants, Casson-Walker invariant, Reidemeister torsion, eta invariants, Dedekind-Rademacher sums lens spaces, Seifert manifolds, Seiberg-Witten invariants, Casson-Walker invariant, Reidemeister torsion, eta invariants, Dedekind-Rademacher sums

MSC Classifications:

58D27, 57Q10, 57R15, 57R19, 53C20, 53C25 show english descriptions Moduli problems for differential geometric structures
Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28]
Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
Algebraic topology on manifolds
Global Riemannian geometry, including pinching [See also 31C12, 58B20]
Special Riemannian manifolds (Einstein, Sasakian, etc.) 58D27 - Moduli problems for differential geometric structures
57Q10 - Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28]
57R15 - Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
57R19 - Algebraic topology on manifolds
53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)

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