15 citations · 20 across the 4 of their papers we have counts for
8 papers
Spherical adjunctions of stable -categories and the relative S-construction
Tobias Dyckerhoff, Mikhail Kapranov, Vadim Schechtman +1
We develop the theory of semi-orthogonal decompositions and spherical functors in the framework of stable -categories. Building on this, we study the relative Waldhausen S-…
Perverse sheaves on Riemann surfaces as Milnor sheaves
Tobias Dyckerhoff, Mikhail Kapranov, Yan Soibelman
Constructible sheaves of abelian groups on a stratified space can be equivalently described in terms of representations of the exit-path category. In this work, we provide a simila…
The symplectic geometry of higher Auslander algebras: Symmetric products of disks
Tobias Dyckerhoff, Gustavo Jasso, Yanki Lekili
We show that the perfect derived categories of Iyama's -dimensional Auslander algebras of type are equivalent to the partially wrapped Fukaya categories of the -…
A relative 2-nerve
Fernando Abellán García, Tobias Dyckerhoff, Walker H. Stern
In this work, we introduce a 2-categorical variant of Lurie's relative nerve functor. We prove that it defines a right Quillen equivalence which, upon passage to -categoric…
Generalised BGP reflection functors via the Grothendieck construction
Tobias Dyckerhoff, Gustavo Jasso, Tashi Walde
Inspired by work of Ladkani, we explain how to construct generalisations of the classical reflection functors of Bernšte\uın, Gel'fand and Ponomarev by means of the Grothendieck co…
Relative Calabi-Yau structures II: Shifted Lagrangians in the moduli of objects
Christopher Brav, Tobias Dyckerhoff
We show that a Calabi-Yau structure of dimension on a smooth dg category induces a symplectic form of degree on the moduli space of objects . We show moreover…