On Hopkins’ Picard groups for the prime 3 and chromatic level 2

By Paul G. Goerss, H. Henn, M. Mahowald, Charles Rezk. 2012

47 citations recorded by the source corpus.

We give a calculation of Picard groups Pic2 of K(2) ‐local invertible spectra and Pic(L2) of E(2) ‐local invertible spectra, both at the prime 3 . The main contribution of this paper is to calculate the subgroup κ2 of invertible spectra X with (E2)*X≅(E2)*S0 as twisted modules over the Morava stabilizer group G2 .

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a89b3d6e183d53184f6f3dc49584fc61fbb82cb8

How researchers see this paper

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

In Algebra and Number Theory

1. Vesna Stojanoska
2. A. Mathew

In Geometry and Topology

1. A. Mathew
2. Vesna Stojanoska
3. Lennart Meier
4. M. Hill
5. B. Bhatt
6. Peter Scholze
7. N. Axel Naumann
8. J. Noel

In Mathematical Physics

1. A. Mathew
2. Vesna Stojanoska
3. Lennart Meier
4. M. Hill
5. B. Bhatt
6. Peter Scholze
7. N. Axel Naumann
8. J. Noel

Citations in the corpus

• Topological resolutions in K(2) ‐local homotopy theory at the prime 2 (2016, unknown): “See [GHM04], [HKM13], [Beh06], [GHM14], [GHMR15],”
• The Picard group of topological modular forms via descent theory (2014, methodology): “1See Ando, Blumberg, Gepner, Hopkins and Rezk [2] for a very important application.”