Spin geometry

 ( Differential Topology ) 

In mathematics, spin geometry is the area of differential geometry and topology where objects like and , and the various associated index theorems have come to play a fundamental role both in mathematics and in mathematical physics.

An important generalisation is the theory of symplectic Dirac operators in symplectic spin geometry and symplectic topology, which have become important fields of mathematical research.

• Contact geometry
• Symplectic topology
• Spinor
• Spinor bundle
• Spin manifold

• (1989). 9780691085425, Princeton University Press. ISBN 9780691085425