63 citations · 205 across the 40 of their papers we have counts for
12 papers · 1 filter
Topological obstructions for rational cuspidal curves in Hirzebruch surfaces
Maciej Borodzik, Torgunn Karoline Moe
We study rational cuspidal curves in Hirzebruch surfaces. We provide two obstructions for the existence of rational cuspidal curves in Hirzebruch surfaces with prescribed types of…
The Hodge spectrum of analytic germs on isolated surface singularities
Maciej Borodzik, András Némethi
We use topological methods to prove a semicontinuity property of the Hodge spectra for analytic germs defined on an isolated surface singularity. For this we introduce an analogue…
Semigroups, d-invariants and deformations of cuspidal singular points of plane curves
Maciej Borodzik, Charles Livingston
We apply Heegaard Floer homology to study deformations of singularities of plane algebraic curves. Our main result provides an obstruction to the existence of a deformation between…
A note on a topological approach to the -constant problem in dimension 2
Maciej Borodzik, Stefan Friedl
We provide an example, which shows that studying homological and homotopical properties of cobordisms between arbitrary, that is not necessarily negative, graph manifolds is not en…
Heegaard Floer homology and rational cuspidal curves
Maciej Borodzik, Charles Livingston
We apply the methods of Heegaard Floer homology to identify topological properties of complex curves in the complex projective plane. As one application, we resolve an open conject…
On the semicontinuity of the mod 2 spectrum of hypersurface singularities
Maciej Borodzik, András Némethi, Andrew Ranicki
We use purely topological methods to prove the semicontinuity of the mod 2 spectrum of local isolated hypersurface singularities in , using Seifert forms of high-…