A note on cobordisms of algebraic knots
classification
🧮 math.GT
math.AG
keywords
knotsalgebraiccobordismsnotebehaviourcasecomplexconcordance
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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 concordance invariant $\nu^+$: we study its behaviour with respect to connected sums, providing an explicit formula in the case of L-space knots and proving subadditivity in general.
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