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arXiv · 2509.22313

Finiteness and holonomicity of skein modules

David Jordan·Iordanis Romaidis
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Abstract

We prove a generalised version of finiteness of skein modules for 3-manifolds by including boundary. We show that internal skein modules are holonomic modules over the internal skein algebra of the boundary - a property including finite generation and a Lagrangian support condition. Our approach involves defining skein transfer bimodules, topologically obtained by 2-handle attachments, and establishing q-analogues of statements in D-module theory to prove preservation of holonomicity.

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BibTeXRIS

David Jordan, Iordanis Romaidis. 2025-09-26. Finiteness and holonomicity of skein modules. https://arxiv.org/abs/2509.22313

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