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math.GT2024
Geometric Combinatorics of Polynomials II: Polynomials and Cell Structures
Michael Dougherty, Jon McCammond
This article introduces a finite piecewise Euclidean cell complex homeomorphic to the space of monic centered complex polynomials of degree whose critical values lie in a fixed…
math.GT2021
Geometric Combinatorics of Polynomials I: The Case of a Single Polynomial
Michael Dougherty, Jon McCammond
There are many different algebraic, geometric and combinatorial objects that one can attach to a complex polynomial with distinct roots. In this article we introduce a new object t…