The authors define integrable observables for cohomological field theories that retain integrability, recover Dubrovin-Zhang and double ramification hierarchies, introduce a new Π-class example, prove Miura equivalences among the resulting hierarchies, and supply a short new proof of Witten's 2D-grr
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A new family of weighted double Hurwitz numbers yields an explicit ELSV-type formula in terms of Ω-classes.
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Beyond descendants: integrable observables for cohomological field theories
The authors define integrable observables for cohomological field theories that retain integrability, recover Dubrovin-Zhang and double ramification hierarchies, introduce a new Π-class example, prove Miura equivalences among the resulting hierarchies, and supply a short new proof of Witten's 2D-grr
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A new family of weighted double Hurwitz numbers and a new ELSV-type formula with $\Omega$-classes
A new family of weighted double Hurwitz numbers yields an explicit ELSV-type formula in terms of Ω-classes.