9 citations · 10 across the 3 of their papers we have counts for
4 papers
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…
An -structure for lines in a plane
Hiroshige Kajiura
As an explicit example of an -structure associated to geometry, we construct an -structure for a Fukaya category of finitely many lines (Lagrangians) in ,…
Homological mirror symmetry on noncommutative two-tori
Hiroshige Kajiura
Homological mirror symmetry is a conjecture that a category constructed in the A-model and a category constructed in the B-model are equivalent in some sense. We construct a cyclic…
T-Duality Group for Open String Theory
Hiroshige Kajiura
We study T-duality for open strings on tori $\T^d$. The general boundary conditions for the open strings are constructed, and it is shown that T-duality group, which preserves the…