Research Report: some constructions in Polyhedral Symplectic Topology suggested by AI

TL;DR

This paper explores the application of large language models to address a question about Lagrangian smoothability in polyhedral symplectic topology, bridging AI techniques with advanced mathematical research.

Contribution

It introduces a novel interdisciplinary approach by applying AI language models to a complex problem in symplectic topology, offering new insights and potential methods.

Findings

LLMs can generate meaningful mathematical conjectures

AI-assisted approaches may aid in complex topological problem-solving

Potential for AI to contribute to mathematical research processes

Abstract

We use large language models (LLM) to approach a question about Lagrangian smoothability proposed by Abouzaid et al. in "First Proof" arXiv:2602.05192.