Double ramification cycles and integrable systems

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5. Quantization for DR hierarchy

Asked by Dmitry Zakharov, Paolo Rossi:

Is the existence of quantization of the DR hierarchy associated to a partial CohFT equivalent to the loop axiom (i.e. being an actual, not just partial CohFT)?

Cite this as: AimPL: Double ramification cycles and integrable systems, available at http://aimpl.org/doubleramific.

Choose a section to move this problem to.

A conjecture of Buryak-Rossi
Meaning of higher $r$ -coefficients in $\mathrm{DR}_g^{d,r}(A)$
Compare $\mathrm{DR}_g^\mathrm{adm}(A)$ with $\mathrm{DR}_g^\mathrm{rel}(A)$
Integrable hierarchies from partial CohFTs
Reconstruction for semisimple F-CohFTs
The Tropical DR cycle
Double double ramification cycles
Universal DR cycles
DR-hierarchy with target
Theta divisors on toroidal compactifications of universal Jacobians
Comparison of GRR formulas and JPPZ formulas for DR cycle
Kontsevich-Witten series with $\hbar$