7 citations · 12 across the 6 of their papers we have counts for
6 papers
Lattice Diagrams of Knots and Diagrams of Lattice Stick Knots
Margaret Allardice, Ethan D. Bloch
We give a simple example showing that a knot or link diagram that lies in the lattice is not necessarily the projection of a lattice stick knot or link in the ${\m…
Locally Determined Functions of Finite Simplicial Complexes that are Linear Combinations of the Numbers of Simplices in Each Dimension
Ethan D. Bloch
The Euler characteristic, thought of as a function that assigns a numerical value to every finite simplicial complex, is locally determined in both a combinatorial sense and a geom…
Combinatorial Ricci Curvature for Polyhedral Surfaces and Posets
Ethan Bloch
The combinatorial Ricci curvature of Forman, which is defined at the edges of a CW complex, and which makes use of only the face relations of the cells in the complex, does not sat…
Polyhedral Representation of Discrete Morse Functions on Regular CW Complexes and Posets
Ethan D. Bloch
It is proved that every discrete Morse function in the sense of Forman on a finite regular CW complex can be represented by a polyhedral Morse function in the sense of Banchoff on…
A Characterization of the Angle Defect and the Euler Characteristic in Dimension 2 -- Preliminary Draft
Ethan D. Bloch
The angle defect, which is the standard way to measure curvature at the vertices of polyhedral surfaces, goes back at least as far as Descartes. Although the angle defect has been…
The angle defect for odd-dimensional simplicial manifolds
Ethan D. Bloch
In a 1967 paper, Banchoff stated that a certain type of polyhedral curvature, that applies to all finite polyhedra, was zero at all vertices of an odd-dimensional polyhedral manifo…