Messages
Forelesning 31: Flere differensialer i Adams-spektralsekvensen for tmf
Forelesning 30: Differensialer i Adams-spektralsekvensen for tmf
- Mike Hopkins and Mark Mahowald: "From elliptic curves to homotopy theory", preprint 1998/2000
Forelesning 29: Flere differensialer i Adams-spektralsekvensen for S
- M. Mahowald and M. Tangora: "Some differentials in the Adams spectral sequence", Topology (1967)
- M. G. Barratt, M. E. Mahowald and M. C. Tangora: "Some differentials in the Adams spectral sequence, II", Topology (1970)
- R. James Milgram: "Group representations and the Adams spectral sequence", Pacific J. Math. (1972)
- Robert Bruner: "A new differential in the Adams spectral sequence", Topology (1984)
Forelesning 28: Differensialer i Adams-spektralsekvensen for S
Christian Nassau's cohomology charts for
Forelesning 27: Bildet av J i Adams-spektralsekvensen
- Donald M. Davis and Mark Mahowald: "The image of the stable J-homomorphism", Topology (1989)
Forelesning 26: Adams-formodningen
Forelesning 25: Bildet-av-J spekteret
- J. Frank Adams: "On the groups J(X). I-IV", Topology (1963-1966)
- J. Peter May (with Frank Quinn, Nigel Ray and J?rgen Tornehave): "E-infinity ring spaces and E-infinity ring spectra", Springer Lecture Notes in Math. vol. 577 (1977), kapittel VIII
Forelesning 24: Adams-periodisitet
- J. Frank Adams: "A periodicity theorem in homological algebra", Proc. Camb. Philos. Soc. (1966)
- D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), seksjon 3.4
Forelesning 23: Ext over A(2) med A(0)-koeffisienter
Forelesning 20: Davis-Mahowalds spektralsekvens for A(1)
Forelesning 21: Davis-Mahowalds spektralsekvens for A(2)
- Christian Nassau: Cohomology charts
Forelesning 19: Ext over A(2)
- Nobuo Shimada and Akira Iwai: "On the cohomology of some Hopf algebras", Nagoya Math. J. (1967)
- Donald M. Davis and Mark Mahowald: "Ext over the subalgebra A_2 of the Steenrod algebra for stunted projective spaces", CMS Conf. Proc. (1982)
Forelesning 18: Endelige underalgebraer av Steenrod-algebraen
- D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), seksjon 3.1
Forelesning 17: Den duale Steenrod-algebraen
- John Milnor: "The Steenrod algebra and its dual", Ann. of Math. (2) (1958)
- N. E. Steenrod and D. B. A. Epstein: "Cohomology Operations", Ann. of Math. Studies (1962), kapittel II
Forelesning 15: Mer om multiplikativ struktur
- R. R. Bruner, "The homotopy theory of H-infinity ring spectra" (1986), seksjon IV.4
- D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), seksjon 2.3
Forelesning 16: Hopf-algebraer
- John W. Milnor and John C. Moore: "On the structure of Hopf algebras", Ann. of Math. (2) (1965)
Forelesning 14: Topologisk K-teori
Forelesning 13: Adams' forsvinningsteorem
- J. Frank Adams: "A periodicity theorem in homological algebra", Proc. Camb. Philos. Soc. (1966)
- D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), seksjon 3.4
Forelesning 12: Stabile homotopigrupper til topologisk grad t-s=22.
- Hirosi Toda: "Composition methods in homotopy groups of spheres", Annals of Mathematics Studies (1962)
- Robert R. Bruner: Cohomology charts
Forelesning 11: Stabile homotopigrupper til topologisk grad t-s=7.
Forelesning 10: Multiplikativ struktur
- J. F. Adams: "On the structure and applications of the Steenrod algebra", Comment. Math. Helv. (1958), seksjon 4
- R. M. F. Moss: "On the composition pairing of Adams spectral sequences", Proc. London Math. Soc. (1968), seksjon 2
Forelesning 9: Komplettering og konvergens
- A. K. Bousfield: "The localization of spectra with respect to homology", Topology (1979)
- D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), seksjon 2.1
Oppgave til 17/2: Utvid den minimale resolusjonen til intern grad t=11 (og t=12).
Forelesning 8: Hopf-Steenrod invarianten, Adams-filtrasjonen