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11
votes
Accepted
Equivariant K-theory of $S^1$-action on $S^2$
This is stated as Proposition 3.9 in Segal's "Equivariant K-Theory"; the proof relies on a result
that Segal states as Proposition 3.8, but does not prove; for that, see Proposition 4.9
of Atiyah's "Bott …
2
votes
How to extend an equivariant map from a compact Lie group
Find a $P$-equivariant CW structure on $X$, with skeleta $X_k$ say, and use equivariant obstruction theory to understand the difference between $\pi_0\text{Map}_P(X_k,Y)$ and $\pi_0\text{Map}_P(X_{k+1} … Study the equivariant $K$-theory rings $K_P(X)$ and $K_P(Y)$, possibly including their Adams operations. …
11
votes
Reference request: Equivariant Topology
P.},
title={Equivariant homotopy and cohomology theory},
series={CBMS Regional Conference Series in Mathematics},
volume={91},
note={With contributions by M. Cole, G. Comeza\tilde na, S. …
10
votes
Accepted
Explicit example of an equivariant embedding of $U(n)/( U(k) \times U(n-k))$ into a finite d...
. $$
The map $f$ is equivariant if we let $G$ act on $M_n(\mathbb{C})$ by conjugation. …