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• W1532096802 abstract "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 higher genus analog of the (classical) A-infinity relations on the disk. For topological strings with $hat c=3$ the quantum A-infinity relations are trivially satisfied on a single D-brane, whereas in a multiple D-brane configuration they may be used to compute open higher genus amplitudes recursively from disk amplitudes. This can be helpful in open Gromov--Witten theory in order to determine open string higher genus instanton corrections. Finally, we find that the quantum A-infinity structure cannot quite be recast into a quantum master equation on the open string moduli space." @default.
• W1532096802 created "2016-06-24" @default.
• W1532096802 creator A5061478745 @default.
• W1532096802 date "2006-02-02" @default.
• W1532096802 modified "2023-09-27" @default.
• W1532096802 title "Quantum A-infinity Structures for Open-Closed Topological Strings" @default.
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• W1532096802 hasPublicationYear "2006" @default.
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