A calculus for S^3-diagrams of manifolds with boundary

Published 22 Nov 2021 in math.CT and math.GT | (2111.11311v8)

Abstract: We introduce a diagrammatic language for compact, orientable 3-dimensional manifolds with boundary. A diagrammatic calculus (both integral and rational version) appropriate for this language is introduced and its completeness is proved in the paper. Moreover, a calculus consisting of a finite list of local moves is presented.

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