Research Report: some constructions in Polyhedral Symplectic Topology suggested by AI
Antonio Alfieri, Connor Novak

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.
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Taxonomy
TopicsConstraint Satisfaction and Optimization · Topological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology
