The role of string topology in symplectic field theory

2007/06/22 by Kai Cieliebak, Cieliebak, Kai, Janko Latschev +1
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0706.3284

openalex publication_date 2007/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We outline a program for incorporating holomorphic curves with Lagrangian boundary conditions into symplectic field theory, with an emphasis on ideas, geometric intuition, and a description of the resulting algebraic structures.

Related

• Lectures on Symplectic Field Theory
• Introduction to Symplectic Field Theory
• Curved String Topology and Tangential Fukaya Categories II
• Geometrical interpretation of the topological recursion, and integrable string theories
• String, dilaton and divisor equation in Symplectic Field Theory