3 papers
math.GT2003
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…
math.DG2002
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…
math.DG2001
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…