Abstract
Let and be complex vector bundles over a space . We use the theory of divisors on formal groups to give obstructions in generalised cohomology that vanish when and can be embedded in a bundle in such a way that has dimension at least everywhere. We study various algebraic universal examples related to this question, and show that they arise from the generalised cohomology of corresponding topological universal examples. This extends and reinterprets earlier work on degeneracy classes in ordinary cohomology or intersection theory.
Citation
N P Strickland. "Common subbundles and intersections of divisors." Algebr. Geom. Topol. 2 (2) 1061 - 1118, 2002. https://doi.org/10.2140/agt.2002.2.1061
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