Equivariant Configuration Spaces
نویسندگان
چکیده
منابع مشابه
Equivariant configuration spaces
We use the compression theorem (cf [7; section 7]) to prove results for equivariant configuration spaces analogous to the well-known non-equivariant results of May, Milgram and Segal [5,6,8]. AMS Classification 55P91, 55P35, 55P40; 57R91, 55P45, 55P47
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We study the Fadell–Husseini index of the configuration space F (R, n) with respect to different subgroups of the symmetric group Sn. For p prime and k ≥ 1, we completely determine IndexZ/p(F (R, p);Fp) and partially describe Index(Z/p)k (F (R, p);Fp). In this process we obtain results of independent interest, including: (1) an extended equivariant Goresky–MacPherson formula, (2) a complete des...
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We use the compression theorem (cf [7; section 6]) to prove results for equivariant con guration spaces analogous to the well-known non-equivariant results of May, Milgram and Segal [5,6,8]. AMS Classi cation 55P91, 55P35, 55P40; 57R91, 55P45, 55P47
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Let D be a homogeneous Dirac operator on the quotient M = G=H of two compact connected Lie groups. We construct a deformation ~ D of D and calculate its equivariant-invariant G (~ D) explicitly on the dense subset G 0 of G that acts freely on M. On G 0 , G (~ D) and G (D) diier only by a virtual character of G.
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We present a new geometric interpretation of equivariant cohomology in which one replaces a smooth, complex G-variety X by its associated arc space J∞X, with its induced G-action. This not only allows us to obtain geometric classes in equivariant cohomology of arbitrarily high degree, but also provides more flexibility for equivariantly deforming classes and geometrically interpreting multiplic...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2000
ISSN: 0024-6107
DOI: 10.1112/s0024610700001241