Chern-Simons invariants, SO(3) instantons, and Z/2-homology cobordism

zbMath1256.57023arXiv1009.5365MaRDI QIDQ3108669

Matthew Hedden, Paul A. Kirk

Publication date: 5 January 2012

Abstract: We review the SO(3) instanton gauge theory of Fintushel and Stern and recast it in the context of 4-manifolds with cylindrical ends. Appli- cations to the Z/2-homology cobordism group of Z/2-homology 3-spheres are given.

Full work available at URL: https://arxiv.org/abs/1009.5365

zbMATH Keywords

Chern-Simonsanti-self-dualhomology cobordism

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Eta-invariants, Chern-Simons invariants (58J28) Other types of cobordism (57R90)

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