42 citations · 70 across the 12 of their papers we have counts for
14 papers
Faces of Directed Edge Polytopes
Yasuhide Numata, Yusuke Takahashi, Dai Tamaki
Given a finite quiver (directed graph) without loops and multiedges, the convex hull of the column vector of the incidence matrix is called the directed edge polytope and is an int…
Cotorsion pairs in Hopfological algebra
Mariko Ohara, Dai Tamaki
In an intriguing paper arXiv:math/0509083 Khovanov proposed a generalization of homological algebra, called Hopfological algebra. Since then, several attempts have been made to imp…
A Weighted Quiver Kernel using Functor Homology
Manohar Kaul, Dai Tamaki
In this paper, we propose a new homological method to study weighted directed networks. Our model of such networks is a directed graph equipped with a weight function on th…
Stellar Stratifications on Classifying Spaces
Dai Tamaki, Hiro Lee Tanaka
We extend Björner's characterization of the face poset of finite CW complexes to a certain class of stratified spaces, called cylindrically normal stellar complexes. As a direct co…
Discrete Morse theory and classifying spaces
Vidit Nanda, Dai Tamaki, Kohei Tanaka
The aim of this paper is to develop a refinement of Forman's discrete Morse theory. To an acyclic partial matching on a finite regular CW complex , Forman introduced a discr…
Cellular stratified spaces
Dai Tamaki
The notion of cellular stratified spaces was introduced in a joint work of the author with Basabe, Gonz{á}lez, and Rudyak with the aim of constructing a cellular model of the confi…