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math.GT2011
A Curve Complex and Incompressible Surfaces in
Ingrid Irmer
Various curve complexes with vertices representing multicurves on a surface have been defined, for example [3], [4] and [8]. The homology curve complex defi…
math.GT2011
Geometry of the Homology Curve Complex
Ingrid Irmer
Suppose is a closed, oriented surface of genus at least two. This paper investigates the geometry of the homology multicurve complex, , of ; a complex clo…