Intersection forms (Ex)

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Determine the intersection forms of the following 2k-manifolds:

  • F_g an oriented surface of genus g
  • S^2 \times S^2
  • S^2 \tilde \times S^2, the total space of the non-trivial linear S^2-bundle over S^2
  • \CP^2
  • M_1 \times M_2, where M_i are manifolds of dim k and 4-k, k \leq 3
  • S^4 \times S^4
  • \Hh P^2
  • \CP^4
  • \Oo P^2

Determine the signatures of the manifolds above.

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