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Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds
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Published/Copyright:
November 23, 2009
Abstract
We derive a cut-and-paste surgery formula of Seiberg–Witten invariants for negative definite plumbed rational homology 3-spheres. It is similar to (and motivated by) Okuma's recursion formula [Trans. Amer. Math. Soc.], 4.5, targeting analytic invariants of splice-quotient singularities. Combining the two formulas automatically provides a proof of the equivariant version [Némethi, Line bundles associated with normal surface singularities, World Sci. Publ., 2007], 5.2(b), of the Seiberg–Witten invariant conjecture [Némethi and Nicolaescu, Geom. Topol. 6: 269–328, 2002] for these singularities.
Received: 2007-11-20
Revised: 2008-08-28
Published Online: 2009-11-23
Published in Print: 2010-January
© Walter de Gruyter Berlin · New York 2010
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- On Katz's bound for the number of elements with given trace and norm
- Free evolution on algebras with two states
- Decomposition of residue currents
- Free holomorphic automorphisms of the unit ball of B(ℋ)n
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- Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds
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Articles in the same Issue
- Waring's problem in function fields
- On Katz's bound for the number of elements with given trace and norm
- Free evolution on algebras with two states
- Decomposition of residue currents
- Free holomorphic automorphisms of the unit ball of B(ℋ)n
- Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities
- Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds
- Mld's vs thresholds and flips
