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math.AG2021
KP hierarchy for Hurwitz-type cohomological field theories
Reinier Kramer
We generalise a result of Kazarian regarding Kadomtsev-Petviashvili integrability for single Hodge integrals to general cohomological field theories related to Hurwitz-type countin…
math-ph2021
A new spin on Hurwitz theory and ELSV via theta characteristics
Alessandro Giacchetto, Reinier Kramer, Danilo Lewański
We study spin Hurwitz numbers, which count ramified covers of the Riemann sphere with a sign coming from a theta characteristic. These numbers are known to be related to Gromov-Wit…