Source / pinned edition
Perelman's Ricci flow with surgery on three-manifolds (2003), as reported in the Clay Mathematics Institute press release of March 18, 2010
Source of package perelman.surgery_2003 · https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf#perelman-surgery
- work
- urn:doctrine:math:perelman-surgery-2003#SURGERY_EXPOSITION
- number
- https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf#perelman-surgery
- kind
- urn:doctrine:math:perelman-surgery-2003#treatise
SURGERY_EXPOSITION_EDITION
- edition
- urn:doctrine:math:perelman-surgery-2003#SURGERY_EXPOSITION_EDITION
- language
- en
- officiality
- unofficial
- materialisation
- PINNED_UNOFFICIAL_COPY
- life cycle
- —
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdf | text/plain; charset=utf-8 | sha256:35f5b98fa32c8c7a7a7254fa1392f03b936564901c7227afecbc96e4697e8369 | 2026-09-17T00:00:00Z |
Fragments — 3
singularity-classification · lemma · referenced by: 1
en · official · sha256:58b0525340a0a4a84c188621d08fe1185462593162edf553d1f8b40e3151fba2
There were just a few kinds, and one could write down simple models of their formation. This was a breakthrough of first importance.Referencing norms: PerelmanSurgeryProof
surgery-procedure · lemma · referenced by: 3
en · official · sha256:20207ad1ad6f0c47a74dd811da16e8e7b74789eba8adfee3cdc8e7432859d819
Once the simple models of singularities were understood, it was clear how to cut out the parts of the shape near them as to continue the Ricci flow past the times at which they would otherwise form.Referencing norms: PerelmanSurgeryClaim, PerelmanSurgerySource, surgery-proves-claim
ref-p2 · defn
en · official · sha256:6c209c26142905d0967be7287776075efd25a305b1fa4c79bf101e1d2965a90c
[P2] G. Perelman, Ricci flow with surgery on three-manifolds, arXiv.org, March 10, 2003The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.