  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.
