2 papers
math.DG2019
Seiberg-Witten equation on a manifold with rank -foliation
Dexie Lin
Let be a closed oriented -manifold admitting a rank- oriented foliation with a metric of leafwise positive scalar curvature. If , then we will show that the Seiber…
math.DG2019
Index of transverse Dirac operator and cohomotopy Seiberg-Witten invariant for codimension Riemannian foliation
Dexie Lin
For closed manifolds endowed with a Riemannian foliation of codimension , one can define a transversal Seiberg-Witten map. We show that there is a finite dimensional approximati…