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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.AT2025
Realization of some Stanley-Reisner algebras and graph colorings
Yang Hu, Donald Stanley
It is a classical problem in algebraic topology to decide whether a given graded -algebra can be realized as the cohomology ring of a space. In this paper, we introduce…
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…