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math.AT2026
Enumerating corank 2 complex vector bundles on odd complex projective spaces
Yang Hu, Morgan Opie
For odd, we enumerate rank complex topological vector bundles on with prescribed complex -theory class. The answer exhibits a 24-fold periodicity and…
math.AT2026
High-corank torsion in homotopy of unitary groups via topological modular forms and higher real -theories
Hood Chatham, Yang Hu, Morgan Opie
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 calc…
math.AT2024
Equivariant Weiss Calculus
Prasit Bhattacharya, Yang Hu
In this paper, we introduce an equivariant analog of Weiss calculus of functors for all finite group . In our theory, Taylor approximations and derivatives are index by…