1 citations · 1 across the 7 of their papers we have counts for
8 papers
Reconstruction of oriented matroids from Varchenko-Gelfand algebras
Yukino Yagi, Masahiko Yoshinaga
The algebra of -valued functions on the set of chambers of a real hyperplane arrangement is called the Varchenko-Gelfand (VG) algebra. This algebra carries a natural filtration…
Milnor fibrations and oriented matroids
Paul Mücksch, Masahiko Yoshinaga
We introduce a combinatorial model for the Milnor fibration of a complexified real arrangement using oriented matroids. It is a poset quasi-fibration, whose domain is a subdivision…
Maximal Betti number for local system cohomology of hyperplane arrangement complements
Yongqiang Liu, Masahiko Yoshinaga
Let be a rank one local system with field coefficient on the complement of an essential complex hyperplane arrangement in $\mathbb{C}^\…
Magnitude homology and homotopy type of metric fibrations
Yasuhiko Asao, Yu Tajima, Masahiko Yoshinaga
In this article, we show that each two metric fibrations with a common base and a common fiber have isomorphic magnitude homology, and even more, the same magnitude homotopy type.…
Topology of hyperplane arrangements via real structure
Masahiko Yoshinaga
This note is a survey on the topology of hyperplane arrangements. We mainly focus on the relationship between topology and the real structure, such as adjacent relations of chamber…
A construction of homotopically non-trivial embedded spheres for hyperplane arrangements
Masahiko Yoshinaga
We introduce the notion of locally consistent system of half-spaces for a real hyperplane arrangement. We embed a sphere in the complexified complement by shifting the real unit sp…