Exotic Smooth Structures
Donaldson and Seiberg–Witten invariants for 4-manifolds.
Exotic Smooth Structures. Donaldson and Seiberg–Witten invariants for 4-manifolds.
Foundations and canonical references
The standard treatments of exotic smooth structures 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 exotic smooth structures 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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