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Doodles on surfaces

Doodles on surfaces

Doodles were introduced in [R. Fenn and P. Taylor, Introducing doodles, in Topology of Low-Dimensional Manifolds, Lecture Notes in Mathematics, Vol. 722 (Springer, Berlin, 1979), pp. 37–43] but were restricted to embedded circles in the [Formula: see text]-sphere. Khovanov [M. Khovanov, Doodle groups, Trans. Amer. Math. Soc. 349 (1997) 2297–2315] …