12 citations · 23 across the 4 of their papers we have counts for
4 papers
Discretising differential geometry via a new product on the space of chains
Vivien de Beauce, Siddhartha Sen
A discretisation of differential geometry using the Whitney forms of algebraic topology is consistently extended via the introduction of a pairing on the space of chains. This pair…
Discretising geometry and preserving topology I: A discrete exterior calculus
Vivien de Beauce, Siddhartha Sen
A discretisation scheme that preserves topological features of a physical problem is extended so that differential geometric structures can be approximated in a consistent way thus…
Chiral Dirac fermions on the lattice using Geometric Discretisation
Vivien de Beauce, Samik Sen, James C. Sexton
A new approach to the problem of doubling is presented with the Dirac-Kahler (DK) theory as a starting point and using Geometric Discretisation providing us with a new way of extra…
Chiral Dirac Fermions on the Lattice using Geometric Discretisation
Vivien de Beauce, Samik Sen
We propose a discretisation scheme based on the Dirac-Kahler formalism (DK) in which the algebraic relations between continuum operators are captured by their…