21 citations · 37 across the 15 of their papers we have counts for
4 papers · 1 filter
Differential complexes and exterior calculus
Jenny Harrison
In this paper we present a new theory of calculus over -dimensional domains in a smooth -manifold, unifying the discrete, exterior, and continuum theories. The calculus begin…
Lectures on chainlet geometry - new topological methods in geometric measure theory
Jenny Harrison
These draft notes are from a graduate course given by the author in Berkeley during the spring semester of 2005. They cover the basic ideas of a new, geometric approach to geometri…
Ravello lecture notes on geometric calculus -- Part I
Jenny Harrison
In these notes of lectures at the 2004 Summer School of Mathematical Physics in Ravello, Italy, the author develops an approach to calculus in which more efficient choices of limit…
Geometric Hodge Star Operator with Applications to the Theorems of Gauss and Green
Jenny Harrison
The classical divergence theorem for an -dimensional domain and a smooth vector field in -space requires that a normal…