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math.GT2022
The homological arrow polynomial for virtual links
Kyle A. Miller
The arrow polynomial is an invariant of framed oriented virtual links that generalizes the virtual Kauffman bracket. In this paper we define the homological arrow polynomial, which…
math.GT2018★ 4 cited
Planar diagrams for local invariants of graphs in surfaces
Calvin McPhail-Snyder, Kyle A. Miller
In order to apply quantum topology methods to nonplanar graphs, we define a planar diagram category that describes the local topology of embeddings of graphs into surfaces. These \…