Picard–Lefschetz theory and dilating ℂ*-actions

DOI10.1112/jtopol/jtv029zbMath1332.53104arXiv1403.7571OpenAlexW2264849707MaRDI QIDQ3462034

Paul Seidel

Publication date: 4 January 2016

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7571

zbMATH Keywords

symplectic manifoldFukaya categoryPicard-Lefschetz theoryFloer cohomology\(\mathbb{C}^\ast\)-action

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (6)

Koszul duality patterns in Floer theory ⋮ q-stability conditions on Calabi–Yau-𝕏 categories ⋮ Seifert form of chain-type invertible singularities ⋮ Exact Calabi-Yau categories and odd-dimensional Lagrangian spheres ⋮ Legendrian fronts for affine varieties ⋮ Fukaya categories of surfaces, spherical objects and mapping class groups

Cites Work

• Unnamed Item
• Unnamed Item
• The symplectic arc algebra is formal
• Symplectic cohomology and \(q\)-intersection numbers
• The symplectic topology of some rational homology balls
• Disjoinable Lagrangian spheres and dilations
• Infinity-inner-products on \(A\)-infinity-algebras.
• Stability conditions on \(A_n\)-singularities
• Twisted Picard-Lefschetz formulas
• A long exact sequence for symplectic Floer cohomology
• The contact boundary of a complex polynomial
• Lagrangian homology spheres in \((A_{m})\) Milnor fibres via \(\mathbb C^{\ast}\)-equivariant \(A_{\infty }\)-modules
• Mirror symmetry for weighted projective planes and their noncommutative deformations
• Danielewski-Fieseler surfaces
• Quivers, Floer cohomology, and braid group actions
• K-theoretic exceptional collections at roots of unity
• Cohomological descent theory for a morphism of stacks and for equivariant derived categories
• ENHANCED TRIANGULATED CATEGORIES
• Lefschetz fibrations and exotic symplectic structures on cotangent bundles of spheres
• Erratum for “On the Extrinsic Topology of Lagrangian Submanifolds”
• Floer cohomology of -equivariant Lagrangian branes
• Relative Characteristic Classes

This page was built for publication: Picard–Lefschetz theory and dilating ℂ*-actions