If X is a symplectic family of Lagrangian tori, the dual family X̂ has a natural complex structure. We define, for any dimension of X, a Fourier transform which yields a bijective correspondence between local systems supported on Lagrangian submanifolds of X and holomorphic vector bundles supported on complex subvarieties of X̂ (suitable conditions being verified on both sides)
We present applications of deformation quantisation techniques to holomorphic symplectic geometry. I...
We consider a novel setting for local harmonic analysis on reductive groups motivated by Langlands f...
We consider a novel setting for local harmonic analysis on reductive groups motivated by Langlands f...
As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fib...
As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fibr...
We construct a Fourier–Mukai transform for smooth complex vector bundles E over a torus bundle π: M ...
In the context of irreducible holomorphic symplectic manifolds, we say that (anti)holomorphic (anti)...
Abstract. Let f: X → S be a Lagrangian fibration between projective varieties. We prove that Rif∗OX ...
We study various topics lying in the crossroads of symplectic topology and geometric representation ...
This book is a modern introduction to the theory of abelian varieties and theta functions.Here the F...
By means of a Fourier-Mukai transform we embed moduli spaces M-C(r, d) of stable bundles on an algeb...
The classical Fourier-Mukai duality establishes an equivalence of categories between the derived cat...
Considering real tori as a differential-geometric analogue of abelian varieties, we consider the cor...
We construct stable sheaves over K3 fibrations using a relative Fourier-Mukai transform which descri...
International audienceWe prove that there are at most two possibilities for the base of a Lagrangian...
We present applications of deformation quantisation techniques to holomorphic symplectic geometry. I...
We consider a novel setting for local harmonic analysis on reductive groups motivated by Langlands f...
We consider a novel setting for local harmonic analysis on reductive groups motivated by Langlands f...
As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fib...
As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fibr...
We construct a Fourier–Mukai transform for smooth complex vector bundles E over a torus bundle π: M ...
In the context of irreducible holomorphic symplectic manifolds, we say that (anti)holomorphic (anti)...
Abstract. Let f: X → S be a Lagrangian fibration between projective varieties. We prove that Rif∗OX ...
We study various topics lying in the crossroads of symplectic topology and geometric representation ...
This book is a modern introduction to the theory of abelian varieties and theta functions.Here the F...
By means of a Fourier-Mukai transform we embed moduli spaces M-C(r, d) of stable bundles on an algeb...
The classical Fourier-Mukai duality establishes an equivalence of categories between the derived cat...
Considering real tori as a differential-geometric analogue of abelian varieties, we consider the cor...
We construct stable sheaves over K3 fibrations using a relative Fourier-Mukai transform which descri...
International audienceWe prove that there are at most two possibilities for the base of a Lagrangian...
We present applications of deformation quantisation techniques to holomorphic symplectic geometry. I...
We consider a novel setting for local harmonic analysis on reductive groups motivated by Langlands f...
We consider a novel setting for local harmonic analysis on reductive groups motivated by Langlands f...
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