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Unified invariants of homology 3-spheres

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HTLW03 - Physics and knot homologies

In 2015 K. Habiro and T. Le defined unified quantum invariants of integral homology 3-spheres associated with simple Lie algebras. These invariants dominate Witten-Reshetikhin-Turaev  invariants and belong to the Habiro ring of analytic functions at roots of unity. In the talk I will review the construction of unified invariants, discuss their properties and give few applications. Then I will mention our generalisations of the unified invariants for rational homology 3-spheres. Joint work with T. Le, C. Blanchet and I. Buehler.

This talk is part of the Isaac Newton Institute Seminar Series series.

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