On a Linear Combination of Link Spectral Invariants on the Sphere

Link spectral invariants and their homogenizations have been defined by Cristofaro-Gardiner et.al. In joint work with Ibrahim Trifa, we define a linear combination of such quasimorphism and show that it vanishes on the stabilizer of the equator in S2. We will discuss this result and how it relates to the, still open, equator conjecture.