Geodesic
Common subbundles and intersections of divisors
Strickland, N P1
1Department of Mathematics, University of Sheffield, Western Bank, Sheffield, S10 2TN, UK
Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1061-1118
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Let V 0 and V 1 be complex vector bundles over a space X. We use the theory of divisors on formal groups to give obstructions in generalised cohomology that vanish when V 0 and V 1 can be embedded in a bundle U in such a way that V 0 ∩ V 1 has dimension at least k 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.

DOI : 10.2140/agt.2002.2.1061
Keywords: vector bundle, divisor, degeneracy, Thom–Porteous, formal group

Strickland, N P  1

1 Department of Mathematics, University of Sheffield, Western Bank, Sheffield, S10 2TN, UK 
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Strickland, N P. Common subbundles and intersections of divisors. Algebraic and Geometric Topology, Tome 2 (2002) no. 2, pp. 1061-1118. doi: 10.2140/agt.2002.2.1061

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