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A Standard Form for Incompressible Surfaces in a Handlebody

Linda E. Green

math.GTarXiv:math/9609208

Abstract

Let be a compact surface and let I be the unit interval. This paper gives a standard form for all 2-sided incompressible surfaces in the 3-manifold × I. Since × I is a handlebody when has boundary, this standard form applies to incompressible surfaces in a handlebody.

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