Bott class

Definition 9.3.9 (Bott class). Let \(H \to \CP ^1\) be the tautological line bundle. The Bott class is \[ \beta := [H]-[\ul {\C }] \in \widetilde K^0(\CP ^1). \] By Example 9.3.5, this class generates \(\widetilde K^0(\CP ^1)\cong \Z \).