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math.GT2024
Jones-Wenzl projectors and the Khovanov homotopy of the infinite twist
Matthew Stoffregen, Michael Willis
We construct and study a lift of Jones-Wenzl projectors to the setting of Khovanov spectra, and provide a realization of such lifted projectors via a Cooper-Krushkal-like sequence…
math.GT2023
PL-genus of surfaces in homology balls
Jennifer Hom, Matthew Stoffregen, Hugo Zhou
We consider manifold-knot pairs where is a homology sphere that bounds a homology ball. We show that the minimum genus of a PL surface in a homology ball such t…