The 2-primary Hurewicz image of tmf
| Autor: | Behrens, Mark, Mahowald, Mark, Quigley, J. D. |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Geom. Topol. 27 (2023) 2763-2831 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/gt.2023.27.2763 |
| Popis: | We determine the image of the 2-primary tmf-Hurewicz homomorphism, where tmf is the spectrum of topological modular forms. We do this by lifting elements of tmf_* to the homotopy groups of the generalized Moore spectrum M(8,v_1^8) using a modified form of the Adams spectral sequence and the tmf-resolution, and then proving the existence of a v_2^32-self map on M(8,v_1^8) to generate 192-periodic families in the stable homotopy groups of spheres. Comment: 61 pages, 12 figures. v4: made corrections based on comments from referees |
| Databáze: | arXiv |
| Externí odkaz: |
|