Hood Chatham

activity

20202026

EO

-orientability of vector bundles

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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.AT2024

Enumerating stably trivial vector bundles with higher real $K$ -theory

Hood Chatham, Yang Hu, Morgan Opie

This paper explores periodic phenomena in the group $Vect_{r}^{0} (CP^{r + c})$ of stably trivial, complex rank $r$ topological vector bundles on $\mathbb{CP}^{r+c…

math.AT2020★ 1 cited

On the $EO$ -orientability of vector bundles

Prasit Bhattacharya, Hood Chatham

We study the orientability of vector bundles with respect to a family of cohomology theories called $EO$ -theories. The $EO$ -theories are higher height analogues o…

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

Enumerating stably trivial vector bundles with higher real K-theory

On the EO-orientability of vector bundles

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

Enumerating stably trivial vector bundles with higher real $K$ -theory

On the $EO$ -orientability of vector bundles