Stringy Kähler moduli for the Pfaffian-Grassmannian correspondence

DOI10.3842/SIGMA.2021.028zbMath1460.14043arXiv2009.12630OpenAlexW3089317588MaRDI QIDQ2023402

Will Donovan

Publication date: 3 May 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.12630

zbMATH Keywords

Calabi-Yau threefoldsGrassmannianderived categoryPfaffianderived equivalenceLandau-Ginzburg modelmatrix factorizationsstringy Kähler moduli

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

• Equivalences between GIT quotients of Landau-Ginzburg B-models
• On the derived categories of coherent sheaves on some homogeneous spaces
• Flops and derived categories.
• Variation of geometric invariant theory quotients and derived categories
• Quintic threefolds and Fano elevenfolds
• Braid group actions on derived categories of coherent sheaves.
• Beijing lectures on the grade restriction rule
• Window shifts, flop equivalences and Grassmannian twists
• Dehn twists and free subgroups of symplectic mapping class groups
• A geometric approach to Orlov’s theorem
• The Pfaffian-Grassmannian equivalence revisited
• Exceptional collections for Grassmannians of isotropic lines
• The Pfaffian-Grassmannian derived equivalence
• Homological projective duality for quadrics
• The derived category of a GIT quotient
• Unnamed Item
• Unnamed Item