Work

Conifold Gap Theorem for Topological Recursion

Year: 2026

Type: preprint

Abstract: We prove a conifold gap theorem for the topological recursion of toric mirror curves: for every local analytic family acquiring a generic one-node degeneration and every fixed genus at least two, the conifold-polarized free energy has one universal polar term, and the remainder is jointly holomorphic in the transverse and spectator parameters. The result covers separating and nonseparating nodes and allows general family deformations beyond the pure filling-fraction case.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.11960

Authors: Fang, Bohan, Chen, Juping, Chen, Linji, Zong, Zhengyu

Institutions: Peking University, Peking University International Hospital, Beijing International Studies University, Tsinghua University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7202340249

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