24 citations · 46 across the 3 of their papers we have counts for
4 papers
Heegaard Floer invariants of contact structures on links of surface singularities
József Bodnár, Olga Plamenevskaya
Let a contact 3-manifold be the link of a normal surface singularity equipped with its canonical contact structure . We prove a special property of such contact 3-m…
Construction of bicuspidal rational complex projective plane curves
József Bodnár
We give several constructions of bicuspidal rational complex projective plane curves, and list the Newton pairs and the multiplicity sequences of the singularities on the resulting…
A note on cobordisms of algebraic knots
József Bodnár, Daniele Celoria, Marco Golla
In this note we use Heegaard Floer homology to study smooth cobordisms of algebraic knots and complex deformations of cusp singularities of curves. The main tool will be the concor…
Cuspidal curves and Heegaard Floer homology
József Bodnár, Daniele Celoria, Marco Golla
We give bounds on the gap functions of the singularities of a cuspidal plane curve of arbitrary genus, generalising recent work of Borodzik and Livingston. We apply these inequalit…