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arXiv · 2205.12792

On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II

Jacob Glidewell·William E. Hurst·Kyungyong Lee·Li Li
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Abstract

This article is part of an ongoing investigation of the two-dimensional Jacobian conjecture. In the first paper of this series, we proved the generalized Magnus' formula. In this paper, inspired by cluster algebras, we introduce a sequence of new conjectures including the remainder vanishing conjecture. This makes the generalized Magnus' formula become a useful tool to show the two-dimensional Jacobian conjecture. In the forthcoming paper(s), we plan to prove the remainder vanishing conjecture.

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Jacob Glidewell, William E. Hurst, Kyungyong Lee, Li Li. 2022-05-25. On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II. https://arxiv.org/abs/2205.12792

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