188 citations · 869 across the 72 of their papers we have counts for
86 papers
A quantum connection approach to rationality
Luiz Carazolli, Leonardo F. Cavenaghi, Ludmil Katzarkov +2
We extract rank and regularized exponents from cyclic generic factors of the quantum connection and show that these data persist under the birational comparisons considered here. A…
Dolbeault-Hochster Theory of Polytopal LVM Manifolds
Ludmil Katzarkov, Kyoung-Seog Lee, Ernesto Lupercio +1
We compute the Dolbeault cohomology of minimally stable polytopal LVM manifolds using a finite curvature complex. Let be the indispensable weight block. A canonical exact seque…
On the atomic decomposition of complete intersection in flag varieties
Boris Alexeev, Leonardo F. Cavenaghi, Giovane Galindo +3
We develop a root-theoretic localization formalism for genus-zero Gromov--Witten invariants of flag varieties and of smooth zero loci of globally generated homogeneous vector bundl…
Towards Categorical Kähler Geometry
Fabian Haiden, Ludmil Katzarkov, Maxim Kontsevich +1
We outline the contours of an emerging theory of Kähler metrics in derived noncommutative geometry. This is a refinement of the theory of Bridgeland stability conditions encoding u…
The Cohomology of Solvmanifold SYZ Mirrors
Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov +1
This paper investigates the geometric and cohomological properties of non-Kähler SYZ mirror symmetry for dual torus fibrations over solvmanifolds in the sense of Lau, Tseng and Yau…
Revisiting the Classical McKay Correspondence, Derived Equivalences and the Spectrum of Kleinian Surface Singularities: A Look Through the Mirror
Enrique Becerra, Ludmil Katzarkov, Ernesto Lupercio
In this article, we revisit the classical McKay correspondence via homological mirror symmetry. Specifically, we demonstrate how this correspondence can be articulated as a derived…