Constructing and calculating Adams operations on dualisable topological modular forms
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866918395518124032 |
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| author | Davies, Jack Morgan |
| author_facet | Davies, Jack Morgan |
| contents | We construct Adams operations on the cohomology theory Tmf of topological modular forms; the first such stable operations on this cohomology theory. These Adams operations are then calculated on the Tmf-cohomology of spheres using a combination of descent spectral sequences and Anderson duality. Applications of these operations are then given, including constructions of connective height 2 analogues of Adams summands and image of J spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_13407 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Constructing and calculating Adams operations on dualisable topological modular forms Davies, Jack Morgan Algebraic Topology Algebraic Geometry 55N34, 55N22, 55S25, 55P43, 11F23, 14F20 We construct Adams operations on the cohomology theory Tmf of topological modular forms; the first such stable operations on this cohomology theory. These Adams operations are then calculated on the Tmf-cohomology of spheres using a combination of descent spectral sequences and Anderson duality. Applications of these operations are then given, including constructions of connective height 2 analogues of Adams summands and image of J spectra. |
| title | Constructing and calculating Adams operations on dualisable topological modular forms |
| topic | Algebraic Topology Algebraic Geometry 55N34, 55N22, 55S25, 55P43, 11F23, 14F20 |
| url | https://arxiv.org/abs/2104.13407 |