Topological automorphic forms on U(1,1)

Mathematics – Algebraic Topology

Scientific paper

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27 pages, revised

Scientific paper

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.

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