Connective versions of TMF(3)

Mathematics – Algebraic Topology

Scientific paper

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36 pages

Scientific paper

We study three connective versions of the spectrum for topological modular
forms of level 3. All three were described briefly by Mahowald and Rezk in
[Pure Appl Math Quar (2009)], but we add much detail to their discussion.
Letting tmf(3) denote our connective model which is a ring spectrum, we compute
the tmf(3)-homology of RP^infty.

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