Equivariant topology of configuration spaces

  title={Equivariant topology of configuration spaces},
  author={Pavle V. M. Blagojevi{\'c} and Wolfgang L{\"u}ck and G{\"u}nter M. Ziegler},
  journal={Journal of Topology},
We study the Fadell–Husseini index of the configuration space F(Rd,n) with respect to various subgroups of the symmetric group Sn . For p prime and k⩾1 , we compute IndexZ/p(F(Rd,p);Fp) and partially describe Index(Z/p)k(F(Rd,pk);Fp) . In this process, we obtain results of independent interest, including: (1) an extended equivariant Goresky–MacPherson formula, (2) a complete description of the top homology of the partition lattice Πp as an Fp[Zp] ‐module, and (3) a generalized Dold theorem for… 

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