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arXiv · 1505.06835

On the First Singularity for the Upsilon Invariant of Algebraic Knots

Shida Wang
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Abstract

We show that the location of the first singularity of the Upsilon function of an algebraic knot is determined by the first term of its Puiseux characteristic sequence. In many cases this gives better bounds than the tau invariant on the genus of a cobordism between algebraic knots.

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Shida Wang. 2015-05-26. On the First Singularity for the Upsilon Invariant of Algebraic Knots. https://doi.org/10.1112/blms%2Fbdw007

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