2023/08/08 by Murakami, Yuya, Terashima, Yuji
#11F27 #11L05 #11T24 #57K10 #57K16 #57K31 #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Number Theory (math.NT) #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2308.04010
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.