3 citations · 3 across the 4 of their papers we have counts for
7 papers
Spherical twists, relations and the center of autoequivalence groups of K3 surfaces
Federico Barbacovi, Kohei Kikuta
Homological mirror symmetry predicts that there is a relation between autoequivalence groups of derived categories of coherent sheaves on Calabi-Yau varieties, and the symplectic m…
Serre functors of residual categories via hybrid models
Federico Barbacovi, Ed Segal
In this short note we observe that the Serre functor on the residual category of a complete intersection can be easily described in the framework of hybrid models. Using this descr…
On Gromov-Yomdin type theorems and a categorical interpretation of holomorphicity
Federico Barbacovi, Jongmyeong Kim
In topological dynamics, the Gromov--Yomdin theorem states that the topological entropy of a holomorphic automorphism of a smooth projective variety is equal to the logarithm o…
Entropy of the composition of two spherical twists
Federico Barbacovi, Jongmyeong Kim
Given a categorical dynamical system, i.e. a triangulated category together with an endofunctor, one can try to understand the complexity of the system by computing the entropy of…
On some examples of spherical functors related to flops
Federico Barbacovi
In arXiv:2007.14415 we proved that the "flop-flop" autoequivalence can be realized as the spherical twist around a spherical functor whose source category arises naturally from the…
Spherical functors and the flop-flop autoequivalence
Federico Barbacovi
Flops are birational transformations which, conjecturally, induce derived equivalences. In many cases an equivalence can be produced as pull-push via a resolution of the birational…