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...δh [0] β,q δvγ dx = 0, where in the last line we have used the fact that the h [0] α,p are the Hamiltonians of the principal hierarchy. Useful expositions of these constructions are also available in =-=[2, 11]-=-. 2.4. The Givental group. The action of the Givental group on cohomological field theories is best described in terms of its Lie algebra. This Lie algebra splits into two parts, the upper (resp., low...

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...oduce the language and the formalism in the theory of partial differential equations that will be necessary in our construction of the DR hierarchy. The material comes almost entirely from [DZ05] and =-=[Ros10]-=-. In Section 2.1 we introduce the algebra of differential polynomials and the space of local functionals. In Section 2.2 we describe a certain class of Poisson structures on the space of local functio...