4-Manifold Topology
Smooth and topological 4-manifolds, gauge theory, and the 11/8 conjecture.
4-Manifold Topology. Smooth and topological 4-manifolds, gauge theory, and the 11/8 conjecture.
Foundations and canonical references
The standard treatments of 4-manifold topology approach the subject from complementary angles. Gompf, 4-Manifolds and Kirby Calculus (1999) 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 4-manifold topology 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 · 19994-Manifolds and Kirby Calculusgompf-1999, stipsicz-1999
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