Relations between Derivations arising from Modular Forms

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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS (2017, methodology): “This equation is dual to the first of Pollack’s equations (5.6) (multiply ε∨2n by (2n − 2)! in (5.6) to reproduce the coefficients 9 and 14).”
Multiple Modular Values and the relative completion of the fundamental group of $M_{1,1}$ (2014, methodology): “It implies in particular that the relations between certain derivations on a free Lie algebra with two generators studied by Pollack are motivic [35].”
A class of non-holomorphic modular forms I (2017, methodology): “This provides a modular interpretation of Pollack’s quadratic relations [30], §5.”
The Hodge-de~Rham Theory of Modular Groups (2014, background): “In his undergraduate thesis [36], Pollack found a complete set of quadratic relations that hold between the ǫ2n, and found relations of all degrees > 2 that hold between the ej0 · ǫ2n modulo a certain filtration of DerL(H).”