Tobias Dyckerhoff

activity

20082025

most citedThe inverse problem of differential Galois theory over the field R(z)

15 citations · 20 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.AG2021★ 3 cited

Spherical adjunctions of stable $\infty$ -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 $\infty$ -categories. Building on this, we study the relative Waldhausen S-…

math.AG2020★ 1 cited

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…

math.AG2018★ 1 cited

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 $d$ on a smooth dg category $C$ induces a symplectic form of degree $2 - d$ on the moduli space of objects $M_{C}$ . We show moreover…

Spherical adjunctions of stable ∞-categories and the relative S-construction

Perverse sheaves on Riemann surfaces as Milnor sheaves

Relative Calabi-Yau structures II: Shifted Lagrangians in the moduli of objects

Spherical adjunctions of stable $\infty$ -categories and the relative S-construction