English

Global transfer systems of abelian compact Lie groups

Algebraic Topology 2023-05-31 v2

Abstract

Global transfer systems are equivalent to global NN_\infty-operads, which parametrize different levels of commutativity in globally equivariant homotopy theory, where objects have compatible actions by all compact Lie groups. In this paper we explicitly describe and completely classify global transfer systems for the family of all abelian compact Lie groups.

Keywords

Cite

@article{arxiv.2207.10153,
  title  = {Global transfer systems of abelian compact Lie groups},
  author = {Miguel Barrero},
  journal= {arXiv preprint arXiv:2207.10153},
  year   = {2023}
}

Comments

10 pages, final published version, minor changes, updated bibliography