Dual Homotopy Invariants of G-Foliations

This thesis defines and studies a new set of invariants for a foliation on a manifold M, where the normal bundle of is assumed to have a parallel G-structure. As an application of the theory which is constructed, it is shown that many of the secondary characteristic classes of smooth foliations are independently variable, extending the work of Heitsch in this direction. The homotopy groups (pi)(,n)(B(GAMMA)('q)) of the corresponding classifying space are shown to map onto (//R)('v(,n)), where {v(,n)} has a subsequence tending to infinity.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Hurder, Steven Edmond

• Mathematics

Language dc:language

eng

Identifier

(UMI)AAI8026526

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/68173