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Hecke Operations and the Adams $E_2$-Term Based on Elliptic Cohomology |
Canad. Math. Bull. 42(1999), 129-138
Published:1999-06-01
Printed: Jun 1999
Printed: Jun 1999
- Andrew Baker
Abstract
Hecke operators are used to investigate part of the $\E_2$-term of
the Adams spectral sequence based on elliptic homology. The main
result is a derivation of $\Ext^1$ which combines use of classical
Hecke operators and $p$-adic Hecke operators due to Serre.
| Keywords: | Adams spectral sequence, elliptic cohomology, Hecke operators |
| MSC Classifications: |
55N20 - Generalized (extraordinary) homology and cohomology theories 55N22 - Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90] 55T15 - Adams spectral sequences 11F11 - Holomorphic modular forms of integral weight 11F25 - Hecke-Petersson operators, differential operators (one variable) |