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Special polynomial rings, quasi modular forms and duality of topological strings

Special polynomial rings, quasi modular forms and duality of topological strings

We study the differential polynomial rings which are defined using the special geometry of the moduli spaces of Calabi-Yau threefolds.The higher genus topological string amplitudes are expressed as polynomials in the generators of these rings, giving them a global description in the moduli space.At particular loci, the amplitudes yield the …