The Singular Set of 1-1 Integral Currents

Abstract

We prove that 2 dimensional Integral currents (i.e. integer multiplicity 2 dimensional rectifiable currents) which are almost complex cycles in an almost complex manifold admitting locally a compatible symplectic form are smooth surfaces aside from isolated points and therefore are J-holomorphic curves.

67 pages

References in corpus (1)

• Bubbling and regularity issues in geometric non-linear analysis