Surgery formula for Seiberg–Witten invariants of negative definite plumbed 3-manifolds

DOI10.1515/CRELLE.2010.007zbMath1232.57013arXiv0704.3145OpenAlexW2963976515MaRDI QIDQ3404384

Gábor Braun, András Némethi

Publication date: 9 February 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3145

zbMATH Keywords

rational homology 3-spherescut-and-paste surgery formulaSeiberg-Witten invariant conjecture

Mathematics Subject Classification ID

Related Items (15)

On the set of L-space surgeries for links ⋮ Non-normal affine monoids, modules and {P}oincaré series of plumbed 3-manifolds ⋮ Ultrametric Spaces of Branches on Arborescent Singularities ⋮ Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds ⋮ Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3-manifolds ⋮ On the geometry of strongly flat semigroups and their generalizations ⋮ Lattice cohomology of normal surface singularities ⋮ The end curve theorem for normal complex surface singularities ⋮ The Seiberg-Witten invariants of negative definite plumbed 3-manifolds ⋮ Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds ⋮ Universal abelian covers of superisolated singularities ⋮ The cohomology of line bundles of splice-quotient singularities ⋮ On Poincaré series associated with links of normal surface singularities ⋮ The Abel map for surface singularities I: Generalities and examples ⋮ Seiberg–Witten Invariant of the Universal Abelian Cover of $${S_{-p/q}^{3}(K)}$$

Cites Work

• Casson invariant of links of singularities
• Casson's invariant of Seifert homology 3-spheres
• Holomorphic universal covering spaces of polynomials without multiple roots
• Seiberg-Witten invariants and surface singularities
• On the Floer homology of plumbed three-manifolds
• A geometric proof of the Fintushel-Stern formula
• Complete intersection singularities of splice type as universal Abelian covers
• Complex surface singularities with integral homology sphere links
• On the Ozsváth-Szabó invariant of negative definite plumbed 3-manifolds
• Examples of exotic free 2-complexes and stably free nonfree modules for quaternion groups
• Universal abelian covers of certain surface singularities
• Instanton Homology of Seifert Fibred Homology Three Spheres
• The Seiberg-Witten invariant conjecture for splice-quotients
• Seiberg–Witten Invariants and Surface Singularities. II: Singularities with Good C ^* ‐Action

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