Path operators on Macdonald symmetric functions are shown to represent Negut shuffle algebra elements, yielding a unique PDE characterization of a (q,t)-tau function and a new proof of a key result behind the extended delta conjecture.
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Path operators and $(q,t)$-tau functions
Path operators on Macdonald symmetric functions are shown to represent Negut shuffle algebra elements, yielding a unique PDE characterization of a (q,t)-tau function and a new proof of a key result behind the extended delta conjecture.