English

Topological automorphic forms on U(1,1)

Algebraic Topology 2009-10-04 v2

Abstract

The homotopy type and homotopy groups of some spectra TAF of topological automorphic forms associated to a unitary similitude group GU of type (1,1) are explicitly described in quasi-split cases. The spectrum TAF is shown to be closely related to the spectrum TMF in these cases, and homotopy groups of some of these spectra are explicitly computed.

Keywords

Cite

@article{arxiv.0901.1838,
  title  = {Topological automorphic forms on U(1,1)},
  author = {Mark Behrens and Tyler Lawson},
  journal= {arXiv preprint arXiv:0901.1838},
  year   = {2009}
}

Comments

27 pages, revised

R2 v1 2026-06-21T12:00:21.158Z