2 citations · 2 across the 4 of their papers we have counts for
4 papers
A quick survey of foliations on 4-manifolds
Alexandru Scorpan
We present a few general results on foliations of 4-manifolds by surfaces: existence, tautness, relations to minimal genus of embedded surfaces; as well as some open problems. We h…
Existence of foliations on 4-manifolds
Alexandru Scorpan
We present existence results for certain singular 2-dimensional foliations on 4-manifolds. The singularities can be chosen to be simple, e.g. the same as those that appear in Lefsc…
Spinors as automorphisms of the tangent bundle
Alexandru Scorpan
We show that, on a 4-manifold M endowed with a spin^c structure induced by an almost-complex structure, a self-dual (= positive) spinor field ϕ\in Γ(W^+) is the same as a bundle mo…
Nowhere-zero harmonic spinors and their associated self-dual 2-forms
Alexandru Scorpan
Let M be a closed oriented 4-manifold, with Riemannian metric g, and a spin^C structure induced by an almost-complex structure ω. Each connection A on the determinant line bundle i…