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Primitive curves in the boundary of a handlebody

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We define the homotopy primitive curve complex for a handlebody, which can be considered as a quotient of the primitive curve complex for the handlebody. We show that the homotopy primitive curve complex is connected, and suggest some related questions.

Abstract

We define the homotopy primitive curve complex for a handlebody, which can be considered as a quotient of the primitive curve complex for the handlebody. We show that the homotopy primitive curve complex is connected, and suggest some related questions.

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