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math.GT2004
Embedded Surfaces in the 3-Torus
Allan L. Edmonds
Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the somewhat intricate case when t…
math.GT2004★ 2 cited
Every Reidemeister move is needed for each knot type
Tobias J. Hagge
We show that every knot type admits a pair of diagrams that cannot be made identical without using Reidemeister Omega_2-moves. We also show that our proof is compatible with known…