Quantum A-infinity Structures for Open-Closed Topological Strings

摘要: We study factorizations of topological string amplitudes on higher genus Riemann surfaces with multiple boundary components and find quantum A-infinity relations, which are the analog (classical) relations disk. For strings $\hat c=3$ trivially satisfied a single D-brane, whereas in D-brane configuration they may be used to compute open recursively from disk amplitudes. This can helpful Gromov--Witten theory order determine instanton corrections. Finally, we that structure cannot quite recast into master equation moduli space.