7 citations · 10 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
Mixed Hodge structures in log symplectic geometry
Andrew Harder
We study the cohomology rings of snc log symplectic pairs which have log symplectic forms of pure weight. We show that under a certain natural condition, the cohomology rin…
P=W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds
Andrew Harder, Zhiyuan Li, Junliang Shen +1
We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact hyper-Kähler manifolds.
Torus fibers and the weight filtration
Andrew Harder
We show that if is a simple normal crossings log Calabi--Yau pair, then there is a real torus of dimension equal to the codimension of the smallest stratum of which can…
Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations
Andrew Harder, Alan Thompson
Motivated by the relationship between numerical Grothendieck groups induced by the embedding of a smooth anticanonical elliptic curve into a del Pezzo surface, we define the notion…
Toric Degenerations and the Laurent polynomials related to Givental's Landau-Ginzburg models
Andrew Harder, Charles F. Doran
For an appropriate class of Fano complete intersections in toric varieties, we prove that there is a concrete relationship between degenerations to specific toric subvarieties and…