Derived categories of projectivizations and flops

Q Jiang, NC Leung - Advances in Mathematics, 2022 - Elsevier
We prove a generalization of Orlov's projectivization formula for the derived category D coh
b (P (E)), where E does not need to be a vector bundle; Instead, E is a coherent sheaf which …

All autoequivalences are spherical twists

E Segal - International Mathematics Research Notices, 2018 - academic.oup.com
All Autoequivalences are Spherical Twists | International Mathematics Research Notices |
Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals Books …

On multi-pointed non-commutative deformations and Calabi–Yau threefolds

Y Kawamata - Compositio Mathematica, 2018 - cambridge.org
On multi-pointed non-commutative deformations and Calabi–Yau threefolds Page 1 On multi-pointed
non-commutative deformations and Calabi–Yau threefolds Yujiro Kawamata Compositio …

[HTML][HTML] Perverse sheaves of categories and some applications

A Harder, L Katzarkov - Advances in Mathematics, 2019 - Elsevier
We study perverse sheaves of categories their connections to classical algebraic geometry.
We show how perverse sheaves of categories encode naturally derived categories of …

Universal functors on symmetric quotient stacks of Abelian varieties

A Krug, C Meachan - Selecta Mathematica, 2022 - Springer
We consider certain universal functors on symmetric quotient stacks of Abelian varieties. In
dimension two, we discover a family of P-functors which induce new derived …

Frobenius and spherical codomains and neighbourhoods

A Hochenegger, C Meachan - Documenta Mathematica, 2020 - ems.press
Given an exact functor between triangulated categories which admits both adjoints and
whose cotwist is either zero or an autoequivalence, we show how to associate a unique full …

Spherical twists and Lagrangian spherical manifolds

CY Mak, W Wu - arXiv preprint arXiv:1810.06533, 2018 - arxiv.org
arXiv:1810.06533v1 [math.SG] 15 Oct 2018 Page 1 Spherical twists and Lagrangian spherical
manifolds Cheuk Yu Mak and Weiwei Wu October 16, 2018 Abstract We study Dehn twists …