2 papers
math.AT2025
Obstructions to almost complex structures following Massey
Michael Albanese, Aleksandar Milivojevic
We provide proofs of two theorems stated by Massey in 1961, concerning the obstructions to finding complex structures on real vector bundles. In addition, we determine the second o…
math.DG2024
Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics
Michael Albanese, Luca F. Di Cerbo
We show that extended graph 4-manifolds with positive Euler characteristic cannot support a complex structure. This result stems from a new proof of the fact that a closed real-hyp…