20 citations · 48 across the 15 of their papers we have counts for
21 papers
Categorified Koszul duality of algebras
Isamu Iwanari
Koszul duality is a duality between algebras that provides deep connections between seemingly different algebraic objects and has important applications in various areas of mathema…
Hochschild cohomology and deformation theory of stable infinity-categories with t-structures
Isamu Iwanari
Given a stable presentable infinity-category equipped with a left complete t-structure, we prove that its Hochschild cohomology governs the deformation theory of $\ma…
Bogomolov-Tian-Todorov theorem for Calabi-Yau categories
Isamu Iwanari
We prove a generalization of Bogomolov-Tian-Todorov theorem to Calabi-Yau categories.
On D-modules of categories II
Isamu Iwanari
In our paper "On D-module of categories I", we provide two different methods of constructing D-module structures on the complex computing periodic cyclic homology associated to a f…
On D-modules of categories I
Isamu Iwanari
In this paper, we will provide constructions of D-module structures on the complex computing the periodic cyclic homology of a stable infinity-category defined over a scheme of cha…
Moduli theory associated to Hochschild pairs
Isamu Iwanari
We consider an -linear stable infinity-category and the pair of the Hochschild cohomolo…