Embedded Surfaces in the 3-Torus

2004/08/10 by Allan L. Edmonds, Edmonds, Allan L.
Mathematics · #57M99 #58R40 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M99 #msc:58R40

paper · pdf · doi:10.48550/arxiv.math/0408133

arxiv created 2004/08/10 · arxiv updated 2009/12/01

Abstract

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 the surface is nonorientable.

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