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Hecke Operations and the Adams $E_2$-Term Based on Elliptic Cohomology

  Published:1999-06-01
 Printed: Jun 1999
  • Andrew Baker
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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 Adams spectral sequence, elliptic cohomology, Hecke operators
MSC Classifications: 55N20, 55N22, 55T15, 11F11, 11F25 show english descriptions Generalized (extraordinary) homology and cohomology theories
Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90]
Adams spectral sequences
Holomorphic modular forms of integral weight
Hecke-Petersson operators, differential operators (one variable)
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)
 

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