• Corpus ID: 55641616

Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials

  title={Twisted homology of configuration spaces, homology of spaces of equivariant maps, and stable homology of spaces of non-resultant systems of real homogeneous polynomials},
  author={Victor A. Vassiliev},
  journal={arXiv: Algebraic Topology},
  • V. Vassiliev
  • Published 15 September 2018
  • Mathematics
  • arXiv: Algebraic Topology
A spectral sequence calculating the homology groups of some spaces of maps equivariant under finite group actions is described. For the main example, We calculate the rational homology groups of spaces of even and odd maps $S^m \to S^M$, $m<M$, or, which is the same, the stable homology groups of spaces of non-resultant homogeneous polynomial maps ${\mathbb R}^{m+1} \to {\mathbb R}^{M+1}$ of growing degrees. Also, we find the homology groups of spaces of ${\mathbb Z}_r$-equivariant maps of odd… 
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