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

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 نشر من قبل Mehdi Lejmi
 تاريخ النشر 2015
  مجال البحث
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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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