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math-ph2025
Equivalence of quantizations of the dispersionless KdV hierarchy
Xavier Blot
Wang recently constructed a quantization of the dispersionless KdV hierarchy using the Heisenberg vertex algebra. Independently, in joint work with Rossi, we obtained a quantizatio…
math.AG2025
Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT
Xavier Blot, Paolo Rossi, Adrien Sauvaget
In [arXiv:2408.13806], two families of classical and quantum integrable hierarchies associated to arbitrary Cohomological Field Theories (CohFTs) were introduced: the meromorphic d…
math.AG2025★ 1 cited
Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve
Xavier Blot, Sergey Shadrin, Ishan Jaztar Singh
The goal of this very short note is to give a new proof of Faber's formula for the socle intersection numbers in the tautological ring of . This new proof exhibits a…