Characteristic classes via 4–dimensional gauge theory

Konno, Hokuto¹

¹ Graduate School of Mathematical Sciences, The University of Tokyo, Meguro, Tokyo, Japan

Geometry & topology, Tome 25 (2021) no. 2, pp. 711-773.

Résumé

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

Détail

DOI : 10.2140/gt.2021.25.711

Classification : 57R57, 55R40
Keywords: Yang–Mills equation, Seiberg–Witten equations, characteristic class

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