Plane cuspidal curves and Heegaard Floer homology – Marco Golla (Unversità di Pisa)


Sala Seminari (Dip. Matematica).


In this talk, I will focus on applications of Heegaard Floer homology to the study of genus-g plane curves in CP^2, with one cuspidal singularity: I will discuss bounds on the semigroup counting function of the singularity and show their effectiveness; I will also show examples of families of “simple” singular curves for infinitely many genera. This is joint work with József Bodnar and Daniele Celoria.

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