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arXiv · 1506.08088

Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4

Yuri Kordyukov·Mehdi Lejmi·Patrick Weber
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Abstract

We define Seiberg-Witten equations on closed manifolds endowed with a Riemannian foliation of codimension 4. When the foliation is taut, we show compactness of the moduli space under some hypothesis satisfied for instance by closed K-contact manifolds. Furthermore, we prove some vanishing and non-vanishing results and we highlight that the invariants may be used to distinguish different foliations on diffeomorphic manifolds.

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Yuri Kordyukov, Mehdi Lejmi, Patrick Weber. 2015-06-26. Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4. https://doi.org/10.1016/j.geomphys.2016.05.012

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