Differential forms, open-closed maps, and Gromov-Witten axioms

Key Points

• Analyses open-closed maps in the context of Hochschild and cyclic homology, enhancing understanding of algebraic structures.
• Establishes connections with Gromov-Witten axioms relevant to gravitational descendants in physics and mathematics.
• Incorporates the curvature of the A_infinity algebra for a more nuanced approach to Lagrangian submanifolds.
• Highlights implications for obstruction theory and its applications, paving the way for further research.