Rokhlin's Theorem (Intersection Forms)
This proof is about Rokhlin's Theorem for intersection forms. For other uses, see Rokhlin's Theorem.
Theorem
Let $M$ be a smooth 4-manifold.
Then:
- $\omega_2 \left({T \left({M}\right)}\right) = 0 \implies \operatorname {sign} Q_M = 0 \pmod {16}$
where:
- $Q_M$ is the intersection form
- $T \left({M}\right)$ is the tangent bundle
- $\omega_2$ is the second Stiefel-Whitney class.
Proof
What does "sign" mean in this context?
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Source of Name
This entry was named for Vladimir Abramovich Rokhlin.
