Journal of the Ramanujan Mathematical Society
Volume 32, Issue 3, September 2017 pp. 201–216.
Algebraic vs. topological vector bundles on spheres
Authors:
Aravind Asok and Jean Fasel
Author institution:Department of Mathematics, University of Southern California, 3620 S. Vermont Ave., Los Angeles, CA 90089-2532, United States
Summary:
We study the problem of when a topological vector bundle on a
smooth complex affine variety admits an algebraic structure. We prove that
all rank 2 topological complex vector bundles on smooth affine quadrics
of dimension 11 over the complex numbers admit algebraic structures.
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