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#rokhlin's_theorem

Rokhlin's theorem

On the intersection form of a smooth, closed 4-manifold with a spin structure

In 4-dimensional topology, a branch of mathematics, Rokhlin's theorem states that if a smooth, orientable, closed 4-manifold M has a spin structure, then the signature of its intersection form, a quadratic form on the second cohomology group , is divisible by 16. The theorem is named for Vladimir Rokhlin, who proved it in 1952.

Thu 21st

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Rokhlin's theorem Signature (topology) List of theorems Vladimir Abramovich Rokhlin Atiyah–Singer index theorem Rokhlin lemma Donaldson's theorem Smooth structure Intersection form of a 4-manifold E8 manifold

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