The role of string topology in symplectic field theory

zbMath1214.53067arXiv0706.3284MaRDI QIDQ3645558

Janko Latschev, Kai Cieliebak

Publication date: 18 November 2009

Full work available at URL: https://arxiv.org/abs/0706.3284

zbMATH Keywords

master equationLie bialgebra\(J\)-holomorphic curvesstring topologysymplectic field theory

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Symplectic aspects of Floer homology and cohomology (53D40) Symplectic field theory; contact homology (53D42)

Related Items (31)

An algebraic approach to the algebraic Weinstein conjecture ⋮ The BV formalism for \(L_\infty \)-algebras ⋮ On Product Structures in Floer Homology of Cotangent Bundles ⋮ Higher algebraic structures in Hamiltonian Floer theory ⋮ A hierarchy of local symplectic filling obstructions for contact 3-manifolds ⋮ Rational symplectic field theory for Legendrian knots ⋮ The MV formalism for \({\mathrm{IBL}}_\infty \)- and \({\mathrm{BV}}_\infty \)-algebras ⋮ SFT COMPUTATIONS AND INTERSECTION THEORY IN HIGHER-DIMENSIONAL CONTACT MANIFOLDS ⋮ A Beginner’s Introduction to Fukaya Categories ⋮ Contact topology and holomorphic invariants via elementary combinatorics ⋮ Mirror symmetry for the Tate curve via tropical and log corals ⋮ Duality between Lagrangian and Legendrian invariants ⋮ Gravitational descendants in symplectic field theory ⋮ String topology in three flavors ⋮ Combinatorial Reeb dynamics on punctured contact 3-manifolds ⋮ Loop coproduct in Morse and Floer homology ⋮ Exact Calabi-Yau categories and odd-dimensional Lagrangian spheres ⋮ A cotangent fibre generates the Fukaya category ⋮ Algebraic torsion in contact manifolds ⋮ Knot contact homology, string topology, and the cord algebra ⋮ Floer homology of cotangent bundles and the loop product ⋮ Floer homologies, with applications ⋮ Two closed orbits for non-degenerate Reeb flows ⋮ An exact sequence for contact- and symplectic homology ⋮ Homological algebra related to surfaces with boundary ⋮ Contact homology and virtual fundamental cycles ⋮ From symplectic cohomology to Lagrangian enumerative geometry ⋮ Calculus of multilinear differential operators, operator \(L_\infty\)-algebras and \(IBL_\infty\)-algebras ⋮ Local contact homology and applications ⋮ On growth rate and contact homology ⋮ Dimensionally reduced sutured Floer homology as a string homology

This page was built for publication: The role of string topology in symplectic field theory