The equvariant slice filtration: A primer
作者: Michael A. Hill
刊名: Homology, Homotopy and Applications, 2012, Vol.14 (2), pp.143-166
来源数据库: Project Euclid
关键词: Slice spectral sequenceSlice filtrationEquivariant homotopy
原始语种摘要: We present an introduction to the equivariant slice filtration.After reviewing the definitions and basic properties, wedetermine the slice-connectivity of various families of naturallyarising spectra. This leads to an analysis of pullbacks of slicesdefined on quotient groups, producing new collections of slices.Building on this, we determine the slice tower for the Eilenberg-Mac Lane spectrum associated to a Mackey functor for a cyclicp-group. We then relate the Postnikov tower to the slice towerfor various spectra. Finally, we pose a few conjectures about thenature of slices and pullbacks.
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  • 检查 道具
  • filtration 过滤
  • slice 
  • various 千变万化的
  • introduction 导言
  • Slice 切片
  • homotopy 同伦
  • spectral 谱的
  • present 出席的
  • properties 道具
  • reviewing 道具