Linear Algebra and the Hanna Neumann Conjecture

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Abstract:
In this paper we give a short proof of the Hanna Neumann Conjecture (HNC) using only basic linear algebra, group theory, and algebraic geometry. We also give a number of exercises, partly to develop simpler material, and partly to give the reader more intuition for our new point of view. This article is currently a work in progress; we plan to keep adding more material, discussing more mathematics related to the HNC. All material is presented ``from scratch,'' assuming only a basic knowledge of linear algebra and group theory.