Topological Modular Forms of Level 3

By M. Mahowald, Charles Rezk. 2008

87 citations recorded by the source corpus.

We describe and compute the homotopy of spectra of topological modular forms of level 3. We give some computations related to the "building complex" associated to level 3 structures at the prime 2. Finally, we note the existence of a number of connective models of the spectrum TMF(Gamma_0(3)).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6edc108fd3a92d80c24a2d26b8eb3d0d7e38c217

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. A. Mathew
2. Lennart Meier
3. M. Hill
4. Paul G. Goerss
5. I. Bobkova
6. B. Bhatt
7. Peter Scholze
8. Vesna Stojanoska

In Mathematical Physics

1. A. Mathew
2. Lennart Meier
3. M. Hill
4. I. Bobkova
5. Paul G. Goerss
6. B. Bhatt
7. Peter Scholze
8. John E. Harper

Citations in the corpus

• Topological resolutions in K(2) ‐local homotopy theory at the prime 2 (2016, methodology): “n from the existing literature to cover the main points case-by-case below. See Propositions 2.7, 2.11, and 2.17 2.1. The homotopy groups of EhC 2 and EhC 6. The standard source here is Mahowald-Rezk [MR09], which uses the Hopf algebroid approach, but also uses the same elliptic curve we have chosen”
• The C2–spectrum Tmf1(3) and its invertible modules (2015, background): “Mahowald and Rezk [MR09] have already computed the homotopy groups of TMF0(3) and a similar computation produces actually the RO(C2)-graded C2-equivariant homotopy groups of tmf1(3) and hence TMF1(3).”
• The homology of $\tmf$ (2013, background): “, a choice of nonzero 3-torsion point, which here is (0, 0)) to Mcub[∆ ]; see [21].”