1 citations · 2 across the 6 of their papers we have counts for
7 papers
A Kodaira type conjecture on almost complex 4 manifolds
Dexie Lin
Not long ago, Cirici and Wilson defined a Dolbeault cohomology on almost complex manifolds to answer Hirzebruch's problem. In this paper, we define a refined Dolbeault cohomology o…
Notes on of Seiberg-Witten map on manifold with flat scalar curvature
Dexie Lin
In this paper, we focus on the moduli space of Seiberg-Witten equation on non-compact manifold with periodic end. Suppose that the scalar curvature on the periodic end is identical…
Transverse -entropy and transverse Ricci flow for Riemannian foliations
Dexie Lin
In this paper, we introduce an entropy functional on Riemannian foliation, inspired by the work of , which is monotonically along the transverse Ricci flow. We relate their gradien…
Monopole Floer homology for codimension-3 Riemannian foliation
Dexie Lin
In this paper, we give a systematic study of Seiberg-Witten theory on closed oriented manifold with codimension- oriented Riemannian foliation . Under a certain topologic…
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…
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…
Relative Chern character number and super-connection
Dexie Lin
For two complex vector bundles admitting a homomorphism, whose singularity locates in the disjoint union of some odd--dimensional spheres, we give a formula to compute the relative…