Unified invariants of homology 3-spheres

Duration: 1 hour 8 mins
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Description: Beliakova, A (Universität Zürich)
Monday 10th April 2017 - 16:00 to 17:00
 
Created: 2017-04-13 18:01
Collection: Homology theories in low dimensional topology
Publisher: Isaac Newton Institute
Copyright: Beliakova, A
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: 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.
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