Vi introduserer teorien bak derivatorer fra perspektivet til homologisk algebra. Først med
motivasjon fra deriverte kategorier og kanutvidelser, deretter en nøye gjennomgang av …

Calabi-Yau triangulated categories Page 483 Calabi-Yau triangulated categories Bernhard
Keller 1 Introduction These notes reflect the contents of three lectures given at the workshop …

We show that the additive category of chain complexes parametrized by a finite simplicial
complex $ K $ forms a category with chain duality. This fact, never fully proven in the original …

Stable derivators provide an enhancement of triangulated categories as is indicated by the
existence of canonical triangulations. In this paper we show that exact morphisms of stable …

The theory of derivators enhances and simplifies the theory of triangulated categories. In this
article a notion of fibered (multi-) derivator is developed, which similarly enhances fibrations …

FACTORIZATION HOMOLOGY OF BRAIDED TENSOR CATEGORIES (THIS VERSION: July 5,
2023) Contents 0. Introduction 2 1. Warm-up: sheaves Page 1 FACTORIZATION HOMOLOGY …

This paper concerns the concept of orientation data, as introduced in [22]. Orientation data is
an extra structure that can be added to an 'ind-constructible'n-Calabi-Yau triangulated …

We give a new way to derive branching rules for the conformal embedding $$(\asl_n)
_m\oplus (\asl_m) _n\subset (\asl_ {nm}) _1. $$ In addition, we show that the category $\Cc …

Every fusion category C that is k-linear over a suitable field k, is the category of finite-
dimensional comodules of a weak Hopf algebra H. This weak Hopf algebra is finite …

ÖÜìæ* R%╥ Keyû* 2ìwɪtordsô: æ*▌▌╣ quasitensorû* ªf (braided) ôrigidôcategoryæ* e,
ôHecò▓! kôeû* ªfalgebra, ôcategoricalôdimensionă" ÇAììæ* R%┼ 1Äæ#₧≡ InÉî╠ …