Volume 25, issue 2 (2021)

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Characteristic classes via $4$–dimensional gauge theory

Hokuto Konno

Geometry & Topology 25 (2021) 711–773
Abstract

We construct characteristic classes of 4–manifold bundles using SO(3)–Yang–Mills theory and Seiberg–Witten theory for families.

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Keywords
Yang–Mills equation, Seiberg–Witten equations, characteristic class
Mathematical Subject Classification 2010
Primary: 57R57
Secondary: 55R40
References
Publication
Received: 18 May 2019
Revised: 9 April 2020
Accepted: 12 April 2020
Published: 27 April 2021
Proposed: Simon Donaldson
Seconded: Tomasz Mrowka, Ciprian Manolescu
Authors
Hokuto Konno
Graduate School of Mathematical Sciences
The University of Tokyo
Meguro
Tokyo
Japan