Connective versions of TMF(3)

2010/05/20 by Donald M. Davis, Davis, Donald M., Mark Mahowald +1
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1005.3752

Abstract

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 RPⁱnfty.

Related

• The homotopy groups of the spectrum Tmf
• Topological modular forms with level structure
• The homology of tmf
• A new approach to (3+1)-dimensional TQFTs via topological modular forms
• The descent spectral sequence for topological modular forms