On a certain generalization of spherical twists

DOI10.24033/bsmf.2529zbMath1155.18010arXivmath/0603050OpenAlexW1567494767MaRDI QIDQ3535771

Yukinobu Toda

Publication date: 14 November 2008

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603050

zbMATH Keywords

mirror symmetryderived categories

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Symplectic geometry, contact geometry (53D99)

Related Items

The motivic Donaldson-Thomas invariants of \((-2)\)-curves, Gopakumar-Vafa invariants do not determine flops, Non-commutative crepant resolution of minimal nilpotent orbit closures of type A and Mukai flops, On multi-pointed non-commutative deformations and Calabi–Yau threefolds, Adjoints to a Fourier-Mukai functor, Flops and spherical functors, Orthogonally spherical objects and spherical fibrations, Relating derived equivalences for simplices of higher-dimensional flops, Flops and clusters in the homological minimal model programme, Computation of categorical entropy via spherical functors, Unnamed Item, Double bubble plumbings and two-curve flops, Noncommutative enhancements of contractions, Mukai flops and \(\mathbb{P}\)-twists, Noncommutative deformations and flops, Derived categories of projectivizations and flops, Perverse schobers on Riemann surfaces: constructions and examples, Dehn twists and Lagrangian spherical manifolds, The derived deformation theory of a point

Cites Work

• Unnamed Item
• Toward a definition of moduli of complexes of coherent sheaves on a projective scheme.
• Flops and derived categories.
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.
• Braid group actions on derived categories of coherent sheaves.
• Moduli of complexes on a proper morphism
• Equivalences of Triangulated Categories and Fourier-Mukai Transforms
• Graded lagrangian submanifolds
• Homological Algebra of Mirror Symmetry