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OP-10190Status unassessedGeometry and topology

Examples and basic questions · Question 2.55

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

How can we understand the resulting very singular skeleton? For instance, how do we calculate its symplectic invariants?

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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 skeleta being very new, there is great demand for a good stock of examples, and many basic structures in the theory are not yet understood. In this section we catalog some fundamental questions about arboreal skeleta.

Question context

Given the skeleton of a nearby fiber of a Lefschetz fibration (or something worse) in Cn\mathbb{C}^n, consider the cone on this skeleton (which is the skeleton associated to this Weinstein pair).

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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Discussion

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