Perverse schobers and Orlov equivalences

DOI10.1007/s40879-023-00628-xarXiv2201.05902MaRDI QIDQ6040519

Naoki Koseki, Genki Ouchi

Publication date: 17 May 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.05902

zbMATH Keywords

mirror symmetryCalabi-Yau hypersurfacesderived factorization categoriesperverse schobers

Mathematics Subject Classification ID

Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Mirror symmetry (algebro-geometric aspects) (14J33) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Autoequivalences of derived categories via geometric invariant theory
• A category of kernels for equivariant factorizations and its implications for Hodge theory
• Equivalences of derived factorization categories of gauged Landau-Ginzburg models
• Mellin--Barnes integrals as Fourier--Mukai transforms
• The homotopy theory of dg-categories and derived Morita theory
• Triangulated categories of matrix factorizations for regular systems of weights with \(\varepsilon = - 1\)
• \({\mathcal D}\)-modules et faisceaux pervers dont le support singulier est un croisement normal
• Categorical mirror symmetry: The elliptic curve
• On the derived categories of degree \(d\) hypersurface fibrations
• Variation of geometric invariant theory quotients and derived categories
• Orlov spectra: bounds and gaps
• Perverse sheaves and quivers
• Mirror symmetry for perverse schobers from birational geometry
• Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence
• Perverse schobers on Riemann surfaces: constructions and examples
• Spherical DG-functors
• Perverse schobers and birational geometry
• Homological mirror symmetry for Calabi-Yau hypersurfaces in projective space
• Homological mirror symmetry for the quartic surface
• Lectures on DG-Categories
• A geometric approach to Orlov’s theorem
• Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
• Deriving DG categories
• Intersection Homology & Perverse Sheaves
• Perverse Schobers and Wall Crossing
• The derived category of a GIT quotient
• Equivalence of the Derived Category of a Variety with a Singularity Category

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