Volume 2, issue 2 (2002)

Download this article
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Common subbundles and intersections of divisors

N P Strickland

Algebraic & Geometric Topology 2 (2002) 1061–1118

arXiv: math.AT/0011123

Abstract

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.

Keywords
vector bundle, divisor, degeneracy, Thom–Porteous, formal group
Mathematical Subject Classification 2000
Primary: 55N20
Secondary: 14L05, 14M15
References
Forward citations
Publication
Received: 3 April 2001
Revised: 5 November 2002
Accepted: 19 November 2002
Published: 25 November 2002
Authors
N P Strickland
Department of Mathematics
University of Sheffield
Western Bank
Sheffield, S10 2TN
UK