English

The completion and local cohomology theorems for complex cobordism for all compact Lie groups

Algebraic Topology 2024-03-20 v1

Abstract

We generalize the completion theorem for equivariant MU-module spectra for finite groups or finite extensions of a torus to compact Lie groups using the splitting of global functors proved by Schwede. This proves a conjecture of Greenlees and May.

Keywords

Cite

@article{arxiv.2107.03093,
  title  = {The completion and local cohomology theorems for complex cobordism for all compact Lie groups},
  author = {Marco La Vecchia},
  journal= {arXiv preprint arXiv:2107.03093},
  year   = {2024}
}

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12 pages