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Diagonal approximation and the cohomology ring of torus fiber bundles
For a torus bundle (S 1 × S 1 ) → M → S 1 , we construct a finite free resolution of ℤ over ℤ[π 1 (M)] and compute the cohomology groups H*(π 1 (M); ℤ) and H*(π 1 (M);ℤ p ) for a prime p. We also construct …