Timeline for Is the equivariant Gysin map an $H_G^*(\text{pt})$-module morphism?
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| Mar 26, 2014 at 13:49 | comment | added | Alex Degtyarev | Yes, exactly. Plus, use excision. | |
| Mar 26, 2014 at 13:37 | comment | added | Peter Crooks | Are you are referring to the Thom class of the normal bundle $N$ of $Y_G$ in $X_G$? In this case, we have a map $\pi:H^{*-d}(Y_G)\rightarrow H^*(N,N-\text{zero-section})$. The Thom isomorphism is then $\varphi:H^{*-d}(Y_G)\rightarrow H^*(N,N-\text{zero-section})$ $$x\mapsto\pi(x)\cup T,$$ where $T$ is the Thom class. Is this generally what you are describing? | |
| Mar 25, 2014 at 22:44 | history | answered | Alex Degtyarev | CC BY-SA 3.0 |