 Gysin sequence of a sphere bundle

ID: gysin-sequence-of-a-sphere-bundle

Codex  0 Created 2026-09-24 Updated 2026-09-24

S (E) \to B

of an oriented rank-

d

vector bundle, the Gysin sequence contains

\dots \to H^{q - d} (B) ⌣ e (E) H^{q} (B) \to H^{q} (S (E)) \to H^{q - d + 1} (B) ⌣ e (E) H^{q + 1} (B) \to \dots .

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