A HIGHER DIMENSIONAL FOLIATED DONALDSON THEORY, I

作者：Wang Shuguang^*

来源：Asian Journal of Mathematics, 2015, 19(3): 527-554.

DOI：10.4310/ajm.2015.v19.n3.a6

• Riemannian foliation
• foliated anti-self duality
• transverse anti-self duality
• taut foliation
• pseudogroup
• foliation cycle

We introduce a foliated anti-self dual equation for higher dimensional smooth manifolds with codimension-4 Riemannian foliations. Several fundamental results including a compactification theorem for the moduli space are formulated and proved, towards the defining of a possible Donaldson type invariant for such foliated manifolds.

• 出版日期2015-7