FI-hyperhomology and ordered configuration spaces

23 Jul 2019 Miller Jeremy Wilson Jennifer C. H.

Using a result of Gan and Li on FI-hyperhomology and a semi-simplicial resolution of configuration spaces due to Randal-Williams, we establish an improved representation stability stable range for configuration spaces of distinct ordered points in a manifold. Our bounds on generation degree improve the best known stability slope by a factor of 5/2 in the most general case... (read more)

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Categories


  • ALGEBRAIC TOPOLOGY
  • REPRESENTATION THEORY