11 citations · 21 across the 4 of their papers we have counts for
5 papers · 1 filter
Homotopy algebra of open-closed strings
Hiroshige Kajiura, Jim Stasheff
This paper is a survey of our previous works on open-closed homotopy algebras, together with geometrical background, especially in terms of compactifications of configuration space…
Categories of holomorphic line bundles on higher dimensional noncommutative complex tori
Hiroshige Kajiura
We construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutati…
Open-closed homotopy algebra in mathematical physics
Hiroshige Kajiura, Jim Stasheff
In this paper we discuss various aspects of open-closed homotopy algebras (OCHAs) presented in our previous paper, inspired by Zwiebach's open-closed string field theory, but that…
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…