4 papers
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…
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…
Cofibration category of digraphs for path homology
Daniel Carranza, Brandon Doherty, Chris Kapulkin +3
We prove that the category of directed graphs and graph maps carries a cofibration category structure in which the weak equivalences are the graph maps inducing isomorphisms on pat…
On algebraic vector bundles of rank over smooth affine fourfolds
Thomas Brazelton, Morgan Opie, Tariq Syed
The classification of algebraic vector bundles of rank 2 over smooth affine fourfolds is a notoriously difficult problem. Isomorphism classes of such vector bundles are not uniquel…