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Homotopy invariants of Gauss words by Gibson, Andrew is a scholarly article available to read on EtoBox.

What is Homotopy invariants of Gauss words about?

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.

Author

Gibson, Andrew

Published

2009

Language

EN