2 citations · 4 across the 11 of their papers we have counts for
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-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials
Yuya Murakami
We introduce -functions attached to negative definite plumbed manifolds as the Mellin transforms of homological blocks. We prove that they are entire functions and their value…
A proof of The Radial Limit Conjecture for Costantino--Geer--Patureau-Mirand Quantum invariants
William Elbæk Mistegård, Yuya Murakami
For a negative definite plumbed three-manifold, we give an integral representation of the appropriate average of the GPPV invariants of Gukov--Pei--Putrov--Vafa, which implies that…
Homological blocks with simple Lie algebras and Witten--Reshetikhin--Turaev invariants
Yuya Murakami, Yuji Terashima
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-…
A proof of a conjecture of Gukov-Pei-Putrov-Vafa
Yuya Murakami
In this paper, we prove Gukov-Pei-Putrov-Vafa's conjecture that the Witten-Reshetikhin-Turaev invariants are radial limits of homological blocks, which are -series introduced…
Witten-Reshetikhin-Turaev invariants and indefinite false theta functions for plumbing indefinite H-graphs
Yuya Murakami
Gukov--Pei--Putrov--Vafa conjectured the existence of -series whose radial limits are Witten--Reshetikhin--Turaev invariants and called them homological blocks. For weakly neg…
Witten-Reshetikhin-Turaev invariants and homological blocks for plumbed homology spheres
Yuya Murakami
In this paper, we prove a conjecture by Gukov-Pei-Putrov-Vafa for a wide class of plumbed 3-manifolds. Their conjecture states that Witten-Reshetikhin-Turaev (WRT) invariants are r…
Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs
Akihito Mori, Yuya Murakami
Gukov-Pei-Putrov-Vafa constructed -series invariants called homological blocks in a physical way in order to categorify Witten-Reshetikhin-Turaev (WRT) invariants and conjecture…