Vol. 179, No. 2, 1997

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Characteristic classes for the degenerations of two-plane fields in four dimensions

Maxim Kazarian, Richard Montgomery and Boris Shapiro

Vol. 179 (1997), No. 2, 355–370
Abstract

Given a distribution of k-planes on a manifold, consider the degeneration locus ΣI consisting of points where the distribution has Lie-bracket growth vector less than or equal I, a fixed integer vector. We calculate the characteristic classes associated to the ΣI for a generic two-plane distribution on a four-manifold.

Milestones
Received: 15 October 1995
Revised: 19 July 1996
Published: 1 June 1997
Authors
Maxim Kazarian
Steklov Mathematical Institute
42 Vavilova St., 117966
Moscow GSP-1
Russia
Richard Montgomery
University of California
Santa Cruz, CA 95064
Boris Shapiro
University of Stockholm
Stockholm, S-10691
Sweden