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math.DG2005★ 1 cited
The de Rham-Federer Theory of Differential Characters and Character Duality
F. Reese Harvey, H. Blaine Lawson, John Zweck
The theory of differential characters is developed completely from a de Rham - Federer viewpoint. Characters are defined as equivalence classes of special currents, called sparks,…
math.DG2003★ 3 cited
From Sparks to Grundles--Differential Characters
Reese Harvey, H. Blaine Lawson
We introduce a new homological machine for the study of secondary geometric invariants. The objects, called spark complexes, occur in many areas of mathematics. The theory is appli…
math.DG2002
Morse Novikov theory and cohomology with forward supports
Reese F. Harvey, G. Minervini
We present a new approach to Morse and Novikov theories, based on the deRham Federer theory of currents, using the finite volume flow technique of Harvey and Lawson. In the Morse c…