Singularities and semistable degenerations for symplectic topology

DOI10.1016/j.crma.2018.02.009zbMath1397.53089arXiv1707.01464OpenAlexW2963691795MaRDI QIDQ1747393

Mark McLean, Aleksey Zinger, Mohammad Farajzadeh Tehrani

Publication date: 8 May 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01464

zbMATH Keywords

varietiessubvarietiessingular varietiesnormal crossingssingular subvarieties

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Deformations of singularities (14B07)

Related Items (6)

Super-rigidity of certain skeleta using relative symplectic cohomology ⋮ The canonical wall structure and intrinsic mirror symmetry ⋮ Pseudoholomorphic curves relative to a normal crossings symplectic divisor: compactification ⋮ Normal crossings singularities for symplectic topology: structures ⋮ Some Questions in the Theory of Pseudoholomorphic Curves ⋮ Constructing local models for Lagrangian torus fibrations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reeb orbits and the minimal discrepancy of an isolated singularity
• The growth rate of symplectic homology and affine varieties
• Stable logarithmic maps to Deligne-Faltings pairs. II
• Complex analytic coordinates in almost complex manifolds
• Some examples of nonsmoothable varieties with normal crossings
• On twistor spaces of the class \({\mathcal C}\)
• Global smoothings of varieties with normal crossings
• A new symplectic surgery: the \(3\)-fold sum
• Symplectic normal connect sum
• Symplectic submanifolds and almost-complex geometry
• Relative Gromov-Witten invariants
• A degeneration formula of GW-invariants
• Symplectic cuts
• A new construction of symplectic manifolds
• Normal crossings singularities for symplectic topology
• Normal crossings degenerations of symplectic manifolds
• Homological mirror symmetry for Calabi-Yau hypersurfaces in projective space
• Exploded Fibrations
• Partial Differential Relations
• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
• Compactifications of moduli spaces inspired by mirror symmetry
• Logarithmic Gromov-Witten invariants
• Notes on exploded manifolds and a tropical gluing formula for Gromov-WItten invariants
• Decomposition of degenerate Gromov–Witten invariants
• Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds
• Lectures on symplectic geometry

This page was built for publication: Singularities and semistable degenerations for symplectic topology