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A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.

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Sutured Manifolds and minimal genus

Is there a result relating sutured manifolds and surfaces of minimal genus? perhaps someone has a very clever point of view of these two notions that can share. … In other matters, do we know how to construct minimal genus surfaces out of (weakly) incompressible surfaces? I have been searching for a construction but not lucky so far. Thanks a lot! C …
Carlos Barrod's user avatar