Homotopy \(K3\) surfaces and \(\text{mod }2\) Seiberg-Witten invariants
type: Item
instance of: scholarly article
title: Homotopy \(K3\) surfaces and \(\text{mod }2\) Seiberg-Witten invariants
zbMATH Open document ID: 0876.57031
author: John W. Morgan
author: Zoltán Szabó
published in: Mathematical Research Letters
publication date: 1997-06-10T00:00:00Z
review text: Let \(X\) be a closed smooth four-manifold which is homotopy equivalent to a K3 surface. Let \(P\to X\) be the unique \(\text{Spin}^c\)-structure up to isomorphism with trivial determinant line bundle. Then the value of the Seiberg-Witten invariant of \(P\) is congruent to one modulo two.
Mathematics Subject Classification ID: 57N13
zbMATH DE Number: 1019782
zbMATH Keywords: 4-manifold
zbMATH Keywords: K3 surface
zbMATH Keywords: \(\text{Spin}^ c\)-structure
zbMATH Keywords: Seiberg-Witten invariant
MaRDI profile type: Publication
full work available at URL: mrl.1997.v4.n1.a2
OpenAlex ID: W2054898975
DOI: 10.4310/MRL.1997.V4.N1.A2
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description: scientific article; zbMATH DE number 1019782