Kento Osuga

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20242026

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math.CO2024

$b$ -Hurwitz numbers from refined topological recursion

Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga

We prove that single $G$ -weighted $b$ -Hurwitz numbers with internal faces are computed by refined topological recursion on a rational spectral curve, for certain rationa…

math.AG2024

$b$ -Hurwitz numbers from Whittaker vectors for $W$ -algebras

Nitin K. Chidambaram, Maciej Dołęga, Kento Osuga

We show that $b$ -Hurwitz numbers with a rational weight are obtained by taking an explicit limit of a Whittaker vector for the $W$ -algebra of type $A$ . Our result is a va…

b-Hurwitz numbers from refined topological recursion

b-Hurwitz numbers from Whittaker vectors for W-algebras

$b$ -Hurwitz numbers from refined topological recursion

$b$ -Hurwitz numbers from Whittaker vectors for $W$ -algebras