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arXiv · 1707.08974

Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations

Hokuto Konno
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Abstract

We introduce an invariant of tuples of commutative diffeomorphisms on a 4-manifold using families of Seiberg-Witten equations. This is a generalization of Ruberman's invariant of diffeomorphisms defined using 1-parameter families of Seiberg-Witten equations. Our invariant yields an application to the homotopy groups of the space of positive scalar curvature metrics on a 4-manifold. We also study the extension problem for families of 4-manifolds using our invariant.

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Hokuto Konno. 2017-07-27. Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations. https://doi.org/10.1112/topo.12117

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