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math.GT2015★ 24 cited
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…
math.GT2014★ 20 cited
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…