387 citations · 1.1k across the 37 of their papers we have counts for
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cond-mat.mes-hall2020★ 53 cited
Nielsen-Ninomiya Theorem with Bulk Topology: Duality in Floquet and Non-Hermitian Systems
Takumi Bessho, Masatoshi Sato
The Nielsen-Ninomiya theorem is a fundamental theorem on the realization of chiral fermions in static lattice systems in high-energy and condensed matter physics. Here we extend th…
cond-mat.stat-mech2020★ 19 cited
Geometric Criterion for Solvability of Lattice Spin Systems
Masahiro Ogura, Yukihisa Imamura, Naruhiko Kameyama +2
We present a simple criterion for solvability of lattice spin systems on the basis of the graph theory and the simplicial homology. The lattice systems satisfy algebras with graphi…
math.GT2020★ 10 cited
Abelian quotients of the -filtration on the homology cylinders via the LMO functor
Yuta Nozaki, Masatoshi Sato, Masaaki Suzuki
We construct a series of homomorphisms from the -filtration on the monoid of homology cylinders to torsion modules via the mod reduction of the LMO functor. The res…