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Book 12C

Extinction and the Proof

Perelman, part three

Finite extinction for simply connected manifolds, the Poincaré conjecture assembled, geometrization, and what came after.

  • Primary sourceFinite extinction time for the solutions to the Ricci flow · Grisha Perelman
  • Main companionRicci Flow and the Poincaré Conjecture · Morgan & Tian
In preparation

Contents

  1. 1
    Reading Off the Topology

    What survives the flow, and why only S³ remains.

    In preparation

  2. 2
    Finite Extinction

    Width, minimal spheres and a shrinking quantity that forces the flow to end.

    In preparation

  3. 3
    The Poincaré Conjecture, Assembled

    Every step, linked to where it was proved.

    In preparation

  4. 4
    Geometrization

    Thick and thin parts, and the long-time behaviour of the flow.

    In preparation

  5. 5
    After Perelman

    Singular flows, the Smale conjecture, and Bamler’s theory.

    In preparation

  6. 6
    The Proof in an Hour

    A talk you can give.

    In preparation

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