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Equivariant homotopy theory is the study of how homotopy theory behaves when spaces are considered together with a group action on them.

3 votes
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121 views

Is there a framed nullbordism of $T^4$ with an action of $T^4$ that extends the self-action?

Under the identification of the stable homotopy groups with the (stably) framed bordism groups, it is well known that $\eta\in\pi_1\mathbb{S}$ is represented by $S^1$ with its Lie group framing. Produ …
3 votes
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What is the pointed Borel construction of the $0$-sphere?

Let's apply your definition (which I think has typos on the RHS - the two "+" subscripts on the EG should not be there I think). Let's model everything as topological spaces and do the calculation the …
kiran's user avatar
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