 Cohomology of the unit tangent bundle of an even-dimensional sphere

ID: cohomology-of-the-unit-tangent-bundle-of-an-even-dimensional-sphere

The Euler class of

T S^{2 n}

evaluates to

2

H^{q} (ST S^{2 n}; Z) ≅ ⎩ ⎨ ⎧ Z, Z /2, 0, q = 0, 4 n - 1, q = 2 n, otherwise .

All products of positive-degree classes vanish.

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