A higher dimensional foliated Donaldson theory, I

Abstract

We introduce the foliated anti-self dual equation for higher dimensional smooth manifolds with codimension-4 Riemannian foliations. Several fundamental results are established, towards the defining of a Donaldson type invariant for such foliations.

34 pages, Asian J. Math. 2014

References in corpus (1)

• Gauge theory, calibrated geometry and harmonic spinors

Cited by in corpus (4)

• Moduli Spaces of Contact Instantons
• Transverse ${\mathcal{F}}^T$-entropy and transverse Ricci flow for Riemannian foliations
• Index of transverse Dirac operator and cohomotopy Seiberg-Witten invariant for codimension $4$ Riemannian foliation
• Monopole Floer homology for codimension-3 Riemannian foliation