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- W2949276663 abstract "By defining combinatorial moves, we can define an equivalence relation on Gauss words called homotopy. In this paper we define a homotopy invariant of Gauss words. We use this to show that there exist Gauss words that are not homotopically equivalent to the empty Gauss word, disproving a conjecture by Turaev. In fact, we show that there are an infinite number of equivalence classes of Gauss words under homotopy." @default.
- W2949276663 created "2019-06-27" @default.
- W2949276663 creator A5018485544 @default.
- W2949276663 date "2009-01-31" @default.
- W2949276663 modified "2023-09-27" @default.
- W2949276663 title "Homotopy invariants of Gauss words" @default.
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