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Homological blocks with simple Lie algebras and Witten--Reshetikhin--Turaev invariants

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arxiv 2308.04010 v2 pith:IGLKLTBM submitted 2023-08-08 math.GT hep-thmath-phmath.MPmath.NTmath.QA

Yuya Murakami , Yuji Terashima This is my paper · ORCID
classification math.GThep-thmath-phmath.MPmath.NTmath.QA
keywords asymptoticblockshomologicalinvariantsprovesimplewitten--reshetikhin--turaevalgebra
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In this article, for any Seifert fibered homology 3-sphere, we introduce homological blocks with simple Lie algebra and prove that its radial limits are identified with the Witten--Reshetikhin--Turaev invariants. To prove it, we develop an asymptotic formula and a vanishing result of asymptotic coefficients.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence

    math-ph 2024-12 conditional novelty 4.0 of 10

    Z-hat three-manifold invariants are shown to depend only on the Lie algebra, and a quiver matrix block structure is conjectured for double twist knots.

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