8 papers
A Geometric Realization of Spherical T-Duality via -Diagrams
Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov
We relate spherical T-duality for oriented linear -bundles over (the Milnor bundles , which are -principal exactly when or…
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 Ya…
A Gromov-Witten approach to -equivariant birational invariants
Leonardo F. Cavenaghi, Lino Grama, Ludmil Katzarkov
In arXiv:2404.19088, we initiated a program linking birational invariants with smooth ones and offering new interpretations of classical invariants, such as the Kervaire-Milnor inv…
and Splice Diagrams
Sergei Gukov, Ludmil Katzarkov, Josef Svoboda
We study quantum -series invariants of 3-manifolds of Gukov-Pei-Putrov-Vafa, using techniques from the theory of normal surface singularities such as splice dia…
Modularity of Landau-Ginzburg models
Charles Doran, Andrew Harder, Ludmil Katzarkov +2
For each Fano threefold, we construct a family of Landau-Ginzburg models which satisfy many expectations coming from different aspects of mirror symmetry; they are log Calabi-Yau v…
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…