plby/HopfProblem

A formalization of the resolution of the Hopf problem: the six-sphere admits a complex manifold structure compatible with its standard topology

82

stars

2

commits

Lean

primary language

Aug 30, 2026

updated

README

Formalization of the solution to the Hopf problem

The six-sphere admits a complex manifold structure compatible with its standard topology.

Based on A compact complex threefold fibred by tori over the projective line, and the six-sphere, originally shared on X by Levent Alpöge.

The repository includes a Comparator setup, with the statement adapted from the Formal Conjectures project.

lake update
lake exe cache get
lake build lean4export
lake exe comparator comparator/config.json

Type-check it online!

Contributors

plby

2 commits

plby/HopfProblem

A formalization of the resolution of the Hopf problem: the six-sphere admits a complex manifold structure compatible with its standard topology

82

stars

2

commits

Lean

primary language

Aug 30, 2026

updated

README

Formalization of the solution to the Hopf problem

The six-sphere admits a complex manifold structure compatible with its standard topology.

Based on A compact complex threefold fibred by tori over the projective line, and the six-sphere, originally shared on X by Levent Alpöge.

The repository includes a Comparator setup, with the statement adapted from the Formal Conjectures project.

lake update
lake exe cache get
lake build lean4export
lake exe comparator comparator/config.json

Type-check it online!

Contributors

plby

2 commits

Languages

Lean

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