An involutive upsilon knot invariant

Matthew Hogancamp; Charles Livingston

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arXiv · 1710.08360

An involutive upsilon knot invariant

Matthew Hogancamp·Charles Livingston

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Abstract

Using the theory of involutive Heegaard Floer knot theory developed by Hendricks-Manolescu, we define two involutive analogs of the Upsilon knot concordance invariant of Ozsvath-Stipsicz-Szabo. These involutive invariants are piecewise linear functions defined on the interval [0,2]. Each is a concordance invariant and provides bounds on the three-genus of a knot.

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Matthew Hogancamp, Charles Livingston. 2017-10-23. An involutive upsilon knot invariant. https://arxiv.org/abs/1710.08360

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