Commutativity conditions for truncated Brown–Peterson spectra of height 2

By Tyler Lawson, N. Axel Naumann. 2011

63 citations recorded by the source corpus.

An algebraic criterion, in terms of closure under power operations, is determined for the existence and uniqueness of generalized truncated Brown–Peterson spectra of height 2 as E∞‐ring spectra. The criterion is checked for an example at the prime 2 derived from the universal elliptic curve equipped with a level Γ1(3) structure.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4ac187cf0204cce9b0dec5d8208fa4c9c7c14291

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In Applied Mathematics

1. A. Mathew

In Mathematical Physics

1. A. Mathew
2. B. Bhatt
3. Peter Scholze
4. Lennart Meier
5. N. Axel Naumann
6. J. Noel

Citations in the corpus

• The homology of $\tmf$ (2013, background): “The form of BP 〈2〉 encountered can be identified with the spectrum tmf1(3) of connective topological modular forms of level 3 studied by Hill–Lawson [12] and by Lawson–Naumann [18].”