3 papers
math.GT2025
Intersection pairing on hyperbolic 4-manifolds
Michael Kapovich
We prove an estimate on intersection pairing of homology classes in hyperbolic 4-manifolds in terms of Thurston norms of these classes.
math.DG2025
Rado's paracompactness theorem for conformal manifolds
Michael Kapovich
We prove that every manifold of dimension admitting a conformal structure is paracompact.
math.MG2025
Examples of aspherical Alexandrov spaces
Michael Kapovich
We construct examples of 3-dimensional compact aspherical Alexandrov spaces without boundary which are not topological manifolds.