High-corank torsion in homotopy of unitary groups via topological modular forms and higher real $K$-theories
Work of Toda identifies groups of metastable vector bundles on even-dimensional spheres with stable homotopy groups of certain stunted projective spectra. Using Weiss'unitary calculus, the second-named author generalized this identification to show that metastable, stably trivial vector bundles on even cell complexes c...