标题： 带状拓扑递归与KP可积性 显示英文标题

标题： Blobbed topological recursion and KP integrability

摘要： 我们修订了模糊拓扑递归的概念，通过将其扩展到广义拓扑递归的框架中，并允许那些不一定能进行拓扑展开的模糊块。 我们证明所谓的非微扰微分形式是这种修订后的模糊拓扑递归版本的一个特例。 此外，我们证明了对于包含KP可积模糊块的输入数据，模糊拓扑递归的微分满足KP可积性。 这一结果推广、统一了Borot-Eynard所提出的非微扰微分的KP可积性猜想，并给出了新的证明。 显示英文摘要

摘要： We revise the notion of the blobbed topological recursion by extending it to the setting of generalized topological recursion as well as allowing blobs which do not necessarily admit topological expansion. We show that the so-called non-perturbative differentials form a special case of this revisited version of blobbed topological recursion. Furthermore, we prove the KP integrability of the differentials of blobbed topological recursion for the input data that include KP-integrable blobs. This result generalizes, unifies, and gives a new proof of the KP integrability of nonperturbative differentials conjectured by Borot--Eynard and recently proved by the authors.