Spin Geometry and Dirac Operators
Spin structures, Dirac operators, and the Atiyah–Singer index theorem.
Spin Geometry and Dirac Operators. Spin structures, Dirac operators, and the Atiyah–Singer index theorem.
Foundations and canonical references
The standard treatments of spin geometry and dirac operators approach the subject from complementary angles. Lawson, Spin Geometry (1989) 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 spin geometry and dirac operators 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 · 1989Spin Geometrylawson-1989, michelsohn-1989
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