Abstract
We construct an infinite family of knots with vanishing Upsilon invariant , although their secondaryUpsilon invariants show that they are linearly independent in the smooth knot concordance group. We also prove a conjecture of Allen.
Citation
Xiaoyu Xu. "On the secondary Upsilon invariant." Algebr. Geom. Topol. 21 (4) 1661 - 1676, 2021. https://doi.org/10.2140/agt.2021.21.1661
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