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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

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Volume 2010, Issue 638


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

Gábor Braun / András Némethi
Published Online: 2009-11-23 | DOI: https://doi.org/10.1515/crelle.2010.007


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.

About the article

Received: 2007-11-20

Revised: 2008-08-28

Published Online: 2009-11-23

Published in Print: 2010-01-01

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2010, Issue 638, Pages 189–208, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle.2010.007.

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