Let $\mathcal{O}(1)\to \mathbb{P}^n$ be the the inverse of the tautological bundle over the projective space. Denote by $td(\mathbb{P}^n)$ the Todd class of the tangent bundle to $\mathbb{P}^n$. Can we simplify the expression $$ch(\mathcal{O}(1))td(\mathbb{P}^n) ?$$
2026-04-03 04:47:59.1775191679
Simplify $ch(\mathcal{O}(1))td(\mathbb{P}^n)$
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