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10 votes
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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. …
Neil Strickland's user avatar
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. …
Neil Strickland's user avatar
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 …
Neil Strickland's user avatar
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. …