188 citations · 869 across the 72 of their papers we have counts for
4 papers · 1 filter
A category of kernels for equivariant factorizations and its implications for Hodge theory
Matthew Ballard, David Favero, Ludmil Katzarkov
We provide a factorization model for the continuous internal Hom, in the homotopy category of -linear dg-categories, between dg-categories of equivariant factorizations. This mo…
Homological mirror symmetry for punctured spheres
Mohammed Abouzaid, Denis Auroux, Alexander I. Efimov +2
We prove that the wrapped Fukaya category of a punctured sphere ( with an arbitrary number of points removed) is equivalent to the triangulated category of singularities of a…
Double solids, categories and non-rationality
Atanas Iliev, Ludmil Katzarkov, Victor Przyjalkowski
This paper suggests a new approach to questions of rationality of threefolds based on category theory. Following M. Ballard, D. Favero, L. Katzarkov (ArXiv:1012.0864) and D. Favero…
Super Landau-Ginzburg mirrors and algebraic cycles
Richard S. Garavuso, Ludmil Katzarkov, Maximilian Kreuzer +1
We investigate the super Landau-Ginzburg mirrors of gauged linear sigma models which, in an appropriate low energy limit, reduce to nonlinear sigma models with Kaehler supermanifol…