429 citations · 3.4k across the 37 of their papers we have counts for
4 papers · 1 filter
Landau-Ginzburg Models, D-branes, and Mirror Symmetry
Dmitri Orlov
This paper is an introduction to D-branes in Landau-Ginzburg models and Homological Mirror Symmetry. The paper is based on a series of lectures which were given on Second Latin Con…
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…
Does full imply faithful?
Alberto Canonaco, Dmitri Orlov, Paolo Stellari
We study full exact functors between triangulated categories. With some hypotheses on the source category we prove that it admits an orthogonal decomposition into two pieces such t…
Matrix factorizations for nonaffine LG-models
Dmitri Orlov
We propose a natural definition of a category of matrix factorizations for nonaffine Landau-Ginzburg models. For any LG-model we construct a fully faithful functor from the categor…