equivariant mapping $ S: M _ {k} \rightarrow \mathop{\rm GL} ^ {k} ( n)/G $,
equivariant $ 1 $-
17 KB (2,677 words) - 19:40, 5 June 2020
...h take into account additional structures in certain bundles, for instance equivariant $ K $-theory.
In equivariant $ K $-theory one considers spaces $ X $
17 KB (2,459 words) - 07:32, 26 February 2022
===The equivariant case.===
This applies to functions which are equivariant under the action of a Lie group. Cf. [[#References|[a1]]]. There are applic
21 KB (3,095 words) - 08:01, 6 June 2020
are as in the last section of the main article above (e.g., for
equivariant $ K $-
<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> L. Hodgkin, "The
equivariant Künneth theorem in <img align="absmiddle" border="0" src="https://www.ency
16 KB (2,248 words) - 22:15, 5 June 2020
equivariant mapping of the manifold of $ k $-
5 KB (766 words) - 22:14, 5 June 2020
...ign="top">[a6]</TD> <TD valign="top"> R.T. Živaljević, "User's guide to equivariant methods in combinatorics" ''Publ. Inst. Math. Belgrade'' , '''59 (73)'''
5 KB (674 words) - 19:43, 5 June 2020
...so [[Cohomology of groups|Cohomology of groups]]; [[Equivariant cohomology|Equivariant cohomology]].
16 KB (2,386 words) - 16:47, 20 January 2024
...rther progress was made until 1983, when Wu-yi Hsiang, in the framework of equivariant differential geometry, constructed infinitely many mutually non-congruent m
...rther results related to the spherical Bernstein problem, by investigating equivariant systems of the above type, as well as additional isoparametric foliations o
10 KB (1,518 words) - 21:22, 14 January 2021
...considered. In [[Linear regression|linear regression]] analysis, the first equivariant high-breakdown estimator was the least median of squares [[#References|[a5]
5 KB (759 words) - 08:12, 6 June 2020
...D valign="top">[a5]</TD> <TD valign="top"> D. Quillen, "The spectrum of an equivariant cohomology ring I–II" ''Ann. of Math.'' , '''94''' (1971) pp. 549–602 {
6 KB (868 words) - 22:16, 5 February 2021
...ven a reformulation of Alperin's conjecture which is expressed in terms of equivariant [[K-theory| $ K $-theory]]. E.C. Dade has continued the pattern of predict
...} </TD></TR><TR><TD valign="top">[a5]</TD> <TD valign="top"> J. Thévenaz, "Equivariant $K$-theory and Alperin's conjecture" ''J. Pure Appl. Algebra'' , '''85''' (
8 KB (1,167 words) - 06:46, 26 March 2023
...at do not disrupt the symmetry of the problem (see [[Equivariant estimator|Equivariant estimator]]).
17 KB (2,334 words) - 19:44, 7 January 2024
equivariant moment mapping
7 KB (1,006 words) - 08:24, 6 June 2020
<TR><TD valign="top">[7]</TD> <TD valign="top"> D.B. Zagier, "Equivariant Pontryagin classes and applications to orbit spaces" , Springer (1972)</TD
7 KB (1,066 words) - 06:29, 26 March 2023
...angular momentum, hence its name. The momentum mapping is infinitesimally equivariant for the $\frak g$-actions if $j$ is a homomorphism of Lie algebras. It is a
6 KB (935 words) - 10:58, 2 July 2020
for some smooth $G$-equivariant map $\mu:M\to \mathfrak{g}^*$. Here $\mu^*:\mathfrak{g}\to C^\infty(M)$ den
6 KB (1,109 words) - 13:50, 12 December 2013
the equivariant index theorem for a single elliptic operator equivariant with respect to a compact group $G$ (Atiyah–Segal, [[#References|[a5]]]);
===Equivariant index theorem.===
35 KB (5,243 words) - 17:45, 1 July 2020
equivariant mapping of the principal $ \mathop{\rm GL} ^ {k} ( n) $-
9 KB (1,337 words) - 22:16, 5 June 2020
The existence of an equivariant chain mapping
8 KB (1,093 words) - 08:21, 13 January 2024
is equivariant under the action of $ G $
8 KB (1,274 words) - 22:13, 5 June 2020