Yan Hu

activity

20242026

collaborators

4 papers

math.AT2026

Enumerating corank 2 complex vector bundles on odd complex projective spaces

Yang Hu, Morgan Opie

For $n$ odd, we enumerate rank $n$ complex topological vector bundles on $C P^{n + 2}$ with prescribed complex $K$ -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 $K$ -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.DG2025

Deformed Aeppli cohomology: canonical deformations and jumping formulas

Yan Hu, Wei Xia

Given a complex analytic family of complex manifolds, we consider canonical Aeppli deformations of $(p, q)$ -forms and study its relations to the varying of dimension of the deformed…

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 $G$ . In our theory, Taylor approximations and derivatives are index by…

Enumerating corank 2 complex vector bundles on odd complex projective spaces

High-corank torsion in homotopy of unitary groups via topological modular forms and higher real K-theories

Deformed Aeppli cohomology: canonical deformations and jumping formulas

Equivariant Weiss Calculus

High-corank torsion in homotopy of unitary groups via topological modular forms and higher real $K$ -theories