\(K(1)\)-local topological modular forms

DOI10.1007/s00222-003-0355-yzbMath1078.55010OpenAlexW1987433588MaRDI QIDQ705117

Gerd Laures

Publication date: 25 January 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-003-0355-y

zbMATH Keywords

topological modular form\(E_\infty\) elliptic spectra\(K(1)\)-local \(E_\infty\) spectra\(KO\)-homologyWitten orientation

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Elliptic cohomology (55N34) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Elliptic curves over local fields (11G07) Loop space machines and operads in algebraic topology (55P48)

Related Items (12)

Higher chromatic Thom spectra via unstable homotopy theory ⋮ Codes, vertex operators and topological modular forms ⋮ The 2-primary Hurewicz image of \(\operatorname{tmf}\) ⋮ \(TMF_0(3)\)-characteristic classes for string bundles ⋮ On the \(K(1)\)-local homotopy of \(\mathrm{tmf}\wedge\mathrm{tmf}\) ⋮ Toda brackets and congruences of modular forms ⋮ Characteristic classes in $TMF$ of level $\Gamma _1(3)$ ⋮ Topological modular forms with level structure ⋮ Modular invariance and twisted cancellations of characteristic numbers ⋮ Congruences modulo prime powers of Hecke eigenvalues in level 1 ⋮ String bordism and chromatic characteristics ⋮ Mod 3 congruence and twisted signature of 24 dimensional string manifolds

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