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math.GT2022
The virtual flyping theorem
Thomas Kindred
We extend the flyping theorem to alternating links in thickened surfaces and alternating virtual links. The proof of the former result uses work of Boden--Karimi to adapt the autho…
math.GT2022
Primeness of alternating virtual links
Thomas Kindred
Using a new tool called lassos, we establish a new correspondence between cellular link {diagrams} on closed surfaces and equivalence classes of virtual link {diagrams}. This is an…
math.GT2022
End-essential spanning surfaces for links in thickened surfaces
Thomas Kindred
Let be a cellular alternating link diagram on a closed orientable surface . We prove that if has no removable nugatory crossings then each checkerboard surface from …