Chain Level String Bracket and Punctured Holomorphic Discs

Explore a mathematics colloquium talk that delves into the generalization of Audin's conjecture and its proof techniques. Learn about the relationship between compactified moduli spaces of holomorphic discs and string topology operations. Discover how these ideas extend to Liouville manifolds with finite first Gutt-Hutchings capacity, including low degree affine hypersurfaces in C^n. Examine the introduction of moduli spaces of punctured holomorphic discs and their connections to string topology operations, particularly the chain level string bracket. Gain insights into proving that oriented aspherical Lagrangian submanifolds in certain Liouville manifolds bound pseudoholomorphic discs of Maslov index 2.

Chain level string bracket and punctured holomorphic discs - Yin Li