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Refined Kirby calculus for rational homology spheres of prime orders

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Every integral homology 3-sphere is presented by a framed link whose components have surgery coefficients +-1 and linking numbers 0. By using such framed links and the special Kirby move due to K. Habiro, we can refine Kirby calculus. In this talk, we aim to extend Habiro's refinement to rational homology 3-spheres of prime orders.

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