The equality of 3-manifold invariants

Abstract

The invariants of 3-manifolds defined by Kuperberg for involutory Hopf algebras and those defined by the authors for spherical Hopf algebras are the same for Hopf algebras on which they are both defined.

8 pages, definition of state sum invariant improved for clarity, plus minor typos corrected. With 3 postscript figures. further change: BoxedEPSF macro now included

References in corpus (1)

• Invariants of Piecewise-Linear 3-Manifolds

Cited by in corpus (15)

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• On Two Invariants of Three Manifolds from Hopf Algebras
• Spherical 2-categories and 4-manifold invariants
• Planar algebras and Kuperberg's 3-manifold invariant
• Invariants of Spin Three-Manifolds From Chern-Simons Theory and Finite-Dimensional Hopf Algebras
• |Z_{Kup}|=|Z_{Henn}|^2 for Lens spaces
• Finite groups, spherical 2-categories, and 4-manifold invariants