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Seiberg-Witten Invariants of Lens Spaces

  Published:2001-08-01
 Printed: Aug 2001
  • Liviu I. Nicolaescu
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Abstract

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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