18 citations · 141 across the 49 of their papers we have counts for
53 papers
Ehrhart quasi-polynomials and parallel translations
Akihiro Higashitani, Satoshi Murai, Masahiko Yoshinaga
Given a rational polytope , the numerical function counting lattice points in the integral dilations of is known to become a quasi-polynomial, called the…
Causal order complex and magnitude homotopy type of metric spaces
Yu Tajima, Masahiko Yoshinaga
In this paper, we construct a pointed CW complex called the magnitude homotopy type for a given metric space and a real parameter . This space is roughly consistin…
Betti numbers and torsions in homology groups of double coverings
Suguru Ishibashi, Sakumi Sugawara, Masahiko Yoshinaga
Papadima and Suciu proved an inequality between the ranks of the cohomology groups of the Aomoto complex with finite field coefficients and the twisted cohomology groups, and conje…
Free reflection multiarrangements and quasi-invariants
Takuro Abe, Naoya Enomoto, Misha Feigin +1
To a complex reflection arrangement with an invariant multiplicity function one can relate the space of logarithmic vector fields and the space of quasi-invariants, which are both…
Magnitude homology of graphs and discrete Morse theory on Asao-Izumihara complexes
Yu Tajima, Masahiko Yoshinaga
Recently, Asao and Izumihara introduced CW-complexes whose homology groups are isomorphic to direct summands of the graph magnitude homology group. In this paper, we study the homo…
Ehrhart quasi-polynomials of almost integral polytopes
Christopher de Vries, Masahiko Yoshinaga
A lattice polytope translated by a rational vector is called an almost integral polytope. In this paper we investigate Ehrhart quasi-polynomials of almost integral polytopes. We st…