Search Results - "AUROUX, DENIS"

Infinitely many monotone Lagrangian tori in $$\mathbb {R}^6$$ R 6 by Auroux, Denis

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Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces by Abouzaid, Mohammed, Auroux, Denis, Katzarkov, Ludmil

“…We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly noncompact) toric varieties from the perspective of the…”
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Fukaya categories of surfaces, spherical objects and mapping class groups by Auroux, Denis, Smith, Ivan

“…We prove that every spherical object in the derived Fukaya category of a closed surface of genus at least $2$ whose Chern character represents a nonzero…”
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Homological mirror symmetry for punctured spheres by ABOUZAID, MOHAMMED, AUROUX, DENIS, EFIMOV, ALEXANDER I., KATZARKOV, LUDMIL, ORLOV, DMITRI

“…with an arbitrary number of points removed) is equivalent to the triangulated category of singularities of a mirror Landau-Ginzburg model, proving one side of…”
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Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves by Auroux, Denis, Katzarkov, Ludmil, Orlov, Dmitri

“…We study homological mirror symmetry for Del Pezzo surfaces and their mirror Landau-Ginzburg models. In particular, we show that the derived category of…”
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Infinitely many monotone Lagrangian tori in R6 by Auroux, Denis

“…We construct infinitely many families of monotone Lagrangian tori in R 6 , no two of which are related by Hamiltonian isotopies (or symplectomorphisms). These…”
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Symplectic 4-manifolds as branched coverings of ℂℙ 2 by Auroux, Denis

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GPP, the Generic Preprocessor by Miller, Tristan, Auroux, Denis

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Mirror Symmetry for Weighted Projective Planes and Their Noncommutative Deformations by Auroux, Denis, Katzarkov, Ludmil, Orlov, Dmitri

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Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves by Auroux, Denis, Efimov, Alexander I., Katzarkov, Ludmil

“…Mirror symmetry for higher genus curves is usually formulated and studied in terms of Landau–Ginzburg models; however the critical locus of the superpotential…”
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Holomorphic discs of negative Maslov index and extended deformations in mirror symmetry by Auroux, Denis

“…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…”
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SUTURED KHOVANOV HOMOLOGY, HOCHSCHILD HOMOLOGY, AND THE OZSVÁTH-SZABÓ SPECTRAL SEQUENCE by AUROUX, DENIS, GRIGSBY, J. ELISENDA, WEHRLI, STEPHAN M.

“…In 2002, Khovanov-Seidel constructed a faithful action of the (m+1)–strand braid group, 𝔅m+1, on the derived category of left modules over a quiver algebra,…”
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Homological mirror symmetry for hypersurfaces in $(\mathbb{C}^)^n by Abouzaid, Mohammed, Auroux, Denis

“…Geom. Topol. 28 (2024) 2825-2914 We prove a homological mirror symmetry result for maximally degenerating families of hypersurfaces in $(\mathbb{C}^*)^n$…”
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Khovanov–Seidel quiver algebras and bordered Floer homology by Auroux, Denis, Grigsby, J. Elisenda, Wehrli, Stephan M.

“…We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered…”
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GPP, the Generic Preprocessor by Miller, Tristan, Auroux, Denis

“…Journal of Open Source Software, 5(51), 2020 In computer science, a preprocessor (or macro processor) is a tool that programatically alters its input,…”
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Fukaya categories of surfaces, spherical objects, and mapping class groups by Auroux, Denis, Smith, Ivan

“…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…”
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Speculations on homological mirror symmetry for hypersurfaces in $(\mathbb{C}^)^n by Auroux, Denis

“…Given an algebraic hypersurface $H=f^{-1}(0)$ in $(\mathbb{C}^*)^n$, homological mirror symmetry relates the wrapped Fukaya category of $H$ to the derived…”
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Lagrangian Floer theory for trivalent graphs and homological mirror symmetry for curves by Auroux, Denis, Efimov, Alexander I, Katzarkov, Ludmil

“…Mirror symmetry for higher genus curves is usually formulated and studied in terms of Landau-Ginzburg models; however the critical locus of the superpotential…”
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Symplectic 4-manifolds as branched coverings of 2 by Auroux, Denis

“…We show that every compact symplectic 4-manifold X can be topologically realized as a covering of ^sup 2^ branched along a smooth symplectic curve in X which…”
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Infinitely many monotone Lagrangian tori in $\mathbb{R}^6 by Auroux, Denis

“…Inventiones Math. 201 (2015), 909-924 We construct infinitely many families of monotone Lagrangian tori in $\mathbb{R}^6$, no two of which are related by…”
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