This note announces a general construction of characteristic currents for singular connections on a vector bundle. It develops, in particular, a Chern-Weil-Simons theory for smooth bundle maps a : Eâ€¦ (More)

In the first part of this paper the theory of differential characters is developed completely from a de Rham Federer viewpoint. Characters are defined as equivalence classes of special currents,â€¦ (More)

Ten calcium channel blockers were evaluated in mice after intraperitoneal (i.p.) administration for prevention of seizures induced by various convulsants. The dihydropyridines (class II calciumâ€¦ (More)

In this paper the authors define a capacity for a given linear partial differential operator acting on a Banach space of distributions. This notion has as special cases Newtonian capacity, analyticâ€¦ (More)

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 applied here toâ€¦ (More)

The purpose of this paper is twofold. The rst purpose is to give a simple treatment of the basic theory of atomic sections and their zero currents or divisors. This theory (see HS,HL1]) places theâ€¦ (More)

A canonically defined mod 2 linear dependency current is associated to each collection v of sections, Vl, . . . , Vm, of a real rank n vector bundle. This current is supported on the linearâ€¦ (More)

We present a new, intrinsic approach to Morse Theory which has interesting applications in geometry. We show that a Morse function f on a manifold determines a submanifold T of the product X X, andâ€¦ (More)

A theory of di erential characters is developed for manifolds with boundary. This is done from both the Cheeger-Simons and the deRham-Federer viewpoints. The central result of the paper is theâ€¦ (More)