304 citations · 835 across the 35 of their papers we have counts for
37 papers
Lagrangian Floer theory, from geometry to algebra and back again
Denis Auroux
We survey various aspects of Floer theory and its place in modern symplectic geometry, from its introduction to address classical conjectures of Arnold about Hamiltonian diffeomorp…
Holomorphic discs of negative Maslov index and extended deformations in mirror symmetry
Denis Auroux
The SYZ approach to mirror symmetry for log Calabi-Yau manifolds starts from a Lagrangian torus fibration on the complement of an anticanonical divisor. A mirror space is construct…
Homological mirror symmetry for hypersurfaces in
Mohammed Abouzaid, Denis Auroux
We prove a homological mirror symmetry result for maximally degenerating families of hypersurfaces in (B-model) and their mirror toric Landau-Ginzburg A-models.…
Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves
Denis Auroux, Alexander I. Efimov, Ludmil Katzarkov
Mirror symmetry for higher genus curves is usually formulated and studied in terms of Landau-Ginzburg models; however the critical locus of the superpotential is arguably of greate…
GPP, the Generic Preprocessor
Tristan Miller, Denis Auroux
In computer science, a preprocessor (or macro processor) is a tool that programatically alters its input, typically on the basis of inline annotations, to produce data that serves…
Fukaya categories of surfaces, spherical objects, and mapping class groups
Denis Auroux, Ivan Smith
We prove that every spherical object in the derived Fukaya category of a closed surface of genus at least two whose Chern character represents a non-zero Hochschild homology class…