A LEAN 4 FORMALIZATION PROJECT

Conformal covariant
operators.

Explore the architecture of conformally covariant differential operators—from conformal foundations and ambient geometry to GJMS, Ovsienko–Redou, tree recurrence, and Juhl-type formulas.

Enter the project map ↓View repository ↗

P_2kconformal covariance

e^-(n/2+k)ω P_2k e^(n/2-k)ω

INTRODUCTION

One formal library,
every source module.

A growing Lean 4 library for the construction, properties, and structure of conformally covariant operators: ambient and FG calculus, GJMS, Ovsienko–Redou and Juhl formulas, natural expressions, local adjoints, and recursive operator constructions.

This atlas includes every Lean source file in the current repository, including algebra, audit modules, and library entry points. Open a file to inspect its complete source, declarations, blueprint statements, and direct dependencies.

557 mapped Lean modules6,585 named declarations82,263 lines of Lean

SOURCE SNAPSHOT · 2026-09-19

Written code. Recorded evidence.

All 557 files are available below. Source coverage is separate from mathematical completion.

507 match the checked source snapshot37 match the whole-library build13 await cumulative acceptance

Status is based on exact source hashes against the successful 2026-09-18 record. The checked results retain their hypotheses and FG input interfaces. Milestone D and the first six papers remain in progress; global integration and Gauss–Bonnet–Chern are outside the current target. View source manifest ↗

INTERACTIVE SOURCE ATLAS

Project map

Open any module as a paired mathematics–Lean workspace. Search by topic, author, declaration, file, or verification status.

AlgebraNatural expressions, variations, local adjoints, and recursive operators229 files AmbientAmbient geometry, FG calculus, and PE renormalization176 files AuditKernel checks and acceptance entry points29 files ConformalConformal structures and density bundles2 files EntryPointsComplete-library and verified-subset imports30 files GJMSoperatorsCanonical ambient GJMS operators and tangentiality4 files JuhlformulaComposition and formal obstruction sides of Juhl formulas41 files PolyGJMSoperatorsPoly-Laplacian words, tree recurrence, and OR operators46 files

⌕557 source files · 8 branches · 12 references

REPOSITORY ENTRY POINTS

Conformal covariantoperators.

One formal library,every source module.

Written code. Recorded evidence.

Project map

Conformal covariant
operators.

One formal library,
every source module.