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The concept and the construction of modular graph functions are generalized from genus-one to higher genus surfaces.
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E. D’Hoker and M. B. Green, “Identities between Modular Graph Forms,” J. Number Theory
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2005
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N. Berkovits, “Super-Poincare covariant two-loop superstring amplitudes,” JHEP
2006
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2008
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R. de Jong, “Second variation of Zhang’s λ \lambda -invariant on the moduli space of curves.,” Am. J. Math
2013
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E. D’Hoker and M. B. Green, “Zhang-Kawazumi invariants and superstring amplitudes.,” J. Number Theory
2014
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2016
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E. D’Hoker and J. Kaidi, “Hierarchy of Modular Graph Identities,” JHEP
2016
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2016
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2016
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A. Basu, “Proving relations between modular graph functions,” Class. Quant. Grav
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2017
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A. Kleinschmidt and V. Verschinin, “Tetrahedral modular graph functions,” JHEP
2017
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