9 citations · 12 across the 10 of their papers we have counts for
10 papers
Non-vanishing of homotopy groups of Manin--Schechtman arrangements
Takuya Saito, So Yamagata
One of the central problems in the topology of hyperplane arrangements is determining whether the complement is a -space. In this paper, we study Manin--Schechtman arrangem…
Mapping fiber, loop and suspension graphs in naive discrete homotopy theory
So Yamagata
Discrete homotopy theory or A-homotopy theory is a combinatorial homotopy theory defined on graphs, simplicial complexes, and metric spaces, reflecting information about their conn…
A categorification for the characteristic polynomial of matroids
Takuya Saito, So Yamagata
In the present paper, we provide cohomology groups for matroids, as a categorification of the characteristic polynomial of matroids. The construction depends on the ``quasi-represe…
A lexicographic section of the braid arrangement and the modified Artin presentation
So Yamagata
We study a specific line arrangement obtained from a generic -section of the braid arrangement, and compute the fundamental group of its complement via braid monodromy. We show…
A splitting property of the chromatic homology of the complete graph
So Yamagata
Khovanov introduced a bigraded cohomology theory of links whose graded Euler characteristic is the Jones polynomial. The theory was subsequently applied to the chromatic polynomial…
A linear condition for non-very generic discriminantal arrangements
Simona Settepanella, So Yamagata
The discriminantal arrangement is the space of configurations of hyperplanes in generic position in a dimensional space (see \cite{MS}). Differently from the case in…
A classification of combinatorial types of discriminantal arrangements
So Yamagata
Manin and Schechtman introduced a family of arrangements of hyperplanes generalizing classical braid arrangements, which they called the . Ath…
On the non-very generic intersections in discriminantal arrangements
Simona Settepanella, So Yamagata
In 1985 Crapo introduced in \cite{Crapo} a new mathematical object that he called . Four years later, in 1989, Manin and Schechtman defined in \cite{…
Pappus's Theorem in Grassmannian Gr(3,C^n)
S. Sawada, S. Settepanella, S. Yamagata
In this paper we study intersections of quadrics, components of the hypersurface in Grassmannian $Gr(3, \CC^n)$ introduced in \cite{SoSuSi}. This lead to an alternative statement a…
Discriminantal Arrangement, Minors of Plücker Matrix and hypersurfaces in Grassmannian
S. Sawada, S. Settepanella, S. Yamagata
We show that points in specific degree 2 hypersurfaces in the Grassmannian correspond to generic arrangements of hyperplanes in with associated discri…