10 citations · 17 across the 5 of their papers we have counts for
5 papers
An Intrinsic -Algebra on the Khovanov-Sano Complex
Takahito Kuriya
This paper reinterprets the symmetries of equivariant Khovanov homology, discovered by Khovanov and Sano, within the Batalin-Vilkovisky (BV) formalism. We identify the Shumakovitch…
The LMO Spectrum: Factorization Homology and the E_3-Structure of the Jacobi Diagram Algebra
Takahito Kuriya
We define the LMO spectrum, a categorification of the Le-Murakami-Ohtsuki (LMO) invariant for 3-manifolds, using factorization homology. The theoretical foundation is our main alge…
The perturbative invariants of rational homology 3-spheres can be recovered from the LMO invariant
Takahito Kuriya, Thang T. Q. Le, Tomotada Ohtsuki
We show that the perturbative invariant of rational homology 3-spheres can be recovered from the LMO invariant for any simple Lie algebra , i.e, the LMO inva…
On a Lomonaco-Kauffman conjecture
Takahito Kuriya
Samuel J. Lomonaco Jr and Louis H. Kauffman conjectured that tame knot theory and knot mosaic theory are equivalent. We give a proof of the Lomonaco-Kauffman conjecture.
On the LMO conjecture
Takahito Kuriya
We give a proof of the LMO conjecture which say that for any simply connectd simple Lie group , the LMO invariant of rational homology 3-spheres recovers the perturvative invari…