3-Manifolds and Geometrization
Thurston's geometrization and the Perelman proof.
3-Manifolds and Geometrization. Thurston’s geometrization and the Perelman proof.
Foundations and canonical references
The standard treatments of 3-manifolds and geometrization approach the subject from complementary angles. Thurston, Three-Dimensional Geometry and Topology (1997) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for 3-manifolds and geometrization include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1997Three-Dimensional Geometry and Topologythurston-1997
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