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2002 Common subbundles and intersections of divisors
N P Strickland
Algebr. Geom. Topol. 2(2): 1061-1118 (2002). DOI: 10.2140/agt.2002.2.1061

Abstract

Let V0 and V1 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 V0 and V1 can be embedded in a bundle U in such a way that V0V1 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.

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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

Information

Received: 3 April 2001; Revised: 5 November 2002; Accepted: 19 November 2002; Published: 2002
First available in Project Euclid: 21 December 2017

zbMATH: 1028.55007
MathSciNet: MR1943334
Digital Object Identifier: 10.2140/agt.2002.2.1061

Subjects:
Primary: 55N20
Secondary: 14L05, 14M15

Rights: Copyright © 2002 Mathematical Sciences Publishers

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