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Results tagged with at.algebraic-topology
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user 30455
Homotopy theory, homological algebra, algebraic treatments of manifolds.
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What can we say about the map $\pi^{*}\pi_{*}$ for $\pi:X\rightarrow X/G$?
Let $X$ be a manifold or scheme with a finite group $G$ acting on it freely. Let $\pi:X\rightarrow X/G$ be the natural projection. We have $\pi_{\*}\pi^{\*}=|G|id$ on $H^*(X/G,\mathbb{Z})$. Can we say …
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