40 citations · 55 across the 3 of their papers we have counts for
4 papers
Weighted Projective Lines Associated to Regular Systems of Weights of Dual Type
Atsushi Takahashi
We associate to a regular system of weights a weighted projective line over an algebraically closed field of characteristic zero in two different ways. One is defined as a quotient…
Triangulated categories of matrix factorizations for regular systems of weights with
Hiroshige Kajiura, Kyoji Saito, Atsushi Takahashi
We construct a full strongly exceptional collection in the triangulated category of graded matrix factorizations of a polynomial associated to a non-degenerate regular system of we…
Matrix Factorizations and Representations of Quivers I
Atsushi Takahashi
This paper introduces a mathematical definition of the category of D-branes in Landau-Ginzburg orbifolds in terms of -categories. Our categories coincide with the categor…
Primitive Forms, Topological LG models coupled to Gravity and Mirror Symmetry
Atsushi Takahashi
In this paper, we will describe the mathematical foundation of topological Landau-Ginzburg (LG) models coupled to gravity at genus 0 in terms of primitive forms. We also discuss th…