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OP-10199Status unassessedGeometry and topology

Structures in arboreal geometry · Question 5.1

Arborealization of singularities of Lagrangian skeleta · AIMPL workshop record

MSC 53D · Symplectic geometry, contact geometry

Editorial mapping of AIMPL list topic: Arborealization of singularities of Lagrangian skeleta. http://aimpl.org/arborlagrange/ Not an author-supplied MSC code.

Workshop record · status unassessedAs of 2026-09-10 source snapshot; not a current-status certificationSource & evidence ↓
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Problem statement

Is there a theory of cobordism for closed arboreal spaces?

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Background

Workshop introduction

This page is intended to collect the problems arising from the AIM workshop, "Arborealization of singularities of Lagrangian skeleta."

Section context

The theory of arboreal spaces (or "arborifolds") offers a rich new geometry with many interesting questions. The theory also offers us a new language for presenting already useful or important structures from symplectic, differential, and complex geometry.

Question context

By splitting a closed (n+1)(n+1)-dimensional arboreal space along an nn-dimensional arboreal space, we can treat it as a relation between two nn-dimensional arboreal spaces. This geometry motivates the following question:

Progress & source assessment

Dated source record, inspected 2026-09-10. Current status has not been independently reassessed. Source-reported results have not been independently verified.

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References
  1. [1]Arborealization of singularities of Lagrangian skeleta · Original question link
  2. [2]AIMPL source bibliography link
  3. [3]AIMPL text license · CC BY-SA 3.0 linkAIM Problem Lists (AIMPL), original contributors; CC BY-SA 3.0. Adaptation: structural TeX converted to Markdown, documented source macros expanded, and source bibliography links added. Mathematical wording retained. These adapted source texts remain under CC BY-SA 3.0.

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