Hecke operations and the Adams E2-term based on elliptic cohomology

Canadian Mathematical Bulletin

Volumn 42, Issue 2, 1999, Pages 129-138

  Baker, Andrew ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

Adams spectral sequence; Elliptic cohomology; Hecke operators

Indexed keywords

EID: 0039523468     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1999-015-2     Document Type: Article

References (14)

1. J. F. Adams, Stable homotopy and generalised homology. Reprint of the 1974 original, University of Chicago Press, Chicago, 1995.
2. p. Contemp. Math. 96(1989), 33-38.
3. _, Hecke operators as operations in elliptic cohomology. J. Pure Appl. Algebra 63(1990), 1-11.
4. _, Elliptic genera of level N and elliptic cohomology. J. London Math. Soc. 49(1994), 583-93.
5. _, Operations and cooperations in elliptic cohomology, Part I: Generalized modular forms and the cooperation algebra. New York J. Math. 1(1995), 39-74.
6. _, Hecke algebras acting on elliptic cohomology. In: Homotopy theory via algebraic geometry and group representations (Eds. M. Mahowald and S. Priddy), Contemp. Math., to appear.
7. F. Clarke and K. Johnson, Cooperations in elliptic homology. In: Adams Memorial Symposium on Algebraic Topology, Vol. 2 (Eds. N. Ray and G. Walker), London Math. Soc. Lecture Note Ser. 175(1992), 131-43.
8. F. Q. Gouvea, Arithmetic of p-adic modular forms. Lecture Notes in Math. 1304, 1988.
9. S. Lang, Introduction to modular forms. Springer-Verlag, Berlin, 1995.
10. G. Laures, The topological q-expansion principle. Preprint.
11. e Année (1971/2), No. 416; Lecture Notes in Math. 317(1973), 319-38.
12. e Année (1971/2), No. 416; Lecture Notes in Math. 317(1973), 319-38.
13. _, Formes modulaires et fonctions zeta p-adiques. Lecture Notes in Math. 350(1973), 191-268.
14. R. M. Switzer, Algebraic topology - homotopy and homology. Springer-Verlag, New York-Heidelberg, 1975.