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math.GT2021
Modular transformations of homological blocks for Seifert fibered homology -spheres
Toshiki Matsusaka, Yuji Terashima
In this article, for any Seifert fibered integral homology 3-sphere, we give explicit modular transformation formulas of homological blocks introduced by Gukov-Pei-Putrov-Vafa. Mor…
hep-th2021★ 2 cited
The colored Jones polynomials as vortex partition functions
Masahide Manabe, Seiji Terashima, Yuji Terashima
We construct 3D abelian gauge theories on labeled by knot diagrams whose K-theoretic vortex partition functions, each of which is…
math.GT2021
The Heisenberg double of involutory Hopf algebras and invariants of closed -manifolds
Serban Matei Mihalache, Sakie Suzuki, Yuji Terashima
We construct an invariant of closed oriented -manifolds using a finite dimensional, involutory, unimodular and counimodular Hopf algebra . We use the framework of normal o-gr…