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Published May 11, 2012 8:00 PM

Forelesning 31: Flere differensialer i Adams-spektralsekvensen for tmf

Published May 4, 2012 9:32 PM

Forelesning 30: Differensialer i Adams-spektralsekvensen for tmf

  • Mike Hopkins and Mark Mahowald: "From elliptic curves to homotopy theory", preprint 1998/2000

Published May 4, 2012 9:32 PM

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)

Published Apr. 27, 2012 5:25 PM

Forelesning 28: Differensialer i Adams-spektralsekvensen for S

Christian Nassau's cohomology charts for

Published Apr. 27, 2012 5:20 PM

Forelesning 27: Bildet av J i Adams-spektralsekvensen

  • Donald M. Davis and Mark Mahowald: "The image of the stable J-homomorphism", Topology (1989)

Published Apr. 25, 2012 6:50 PM

Forelesning 26: Adams-formodningen

Published Apr. 25, 2012 6:42 PM

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

Published Mar. 30, 2012 7:21 PM

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

Published Mar. 28, 2012 5:23 PM

Forelesning 23: Ext over A(2) med A(0)-koeffisienter

Published Mar. 28, 2012 5:23 PM

Forelesning 22: Mer om Ext over A(2)

Published Mar. 23, 2012 4:39 PM

Forelesning 20: Davis-Mahowalds spektralsekvens for A(1)

Published Mar. 16, 2012 3:50 PM

Forelesning 21: Davis-Mahowalds spektralsekvens for A(2)

Published Mar. 16, 2012 3:48 PM

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)

Published Mar. 14, 2012 5:14 PM

Forelesning 18: Endelige underalgebraer av Steenrod-algebraen

  • D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), seksjon 3.1

Published Mar. 9, 2012 5:34 PM

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

Published Mar. 7, 2012 3:54 PM

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

Published Feb. 29, 2012 7:30 PM

Forelesning 16: Hopf-algebraer

  • John W. Milnor and John C. Moore: "On the structure of Hopf algebras", Ann. of Math. (2) (1965)

Published Feb. 29, 2012 7:26 PM

Forelesning 14: Topologisk K-teori

Published Feb. 29, 2012 7:22 PM

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

Published Feb. 22, 2012 10:49 AM

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

Published Feb. 22, 2012 10:48 AM

Forelesning 11: Stabile homotopigrupper til topologisk grad t-s=7.

Published Feb. 10, 2012 5:40 PM

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

Published Feb. 10, 2012 5:38 PM

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

Published Feb. 9, 2012 3:49 PM

Oppgave til 17/2: Utvid den minimale resolusjonen til intern grad t=11 (og t=12).

Published Feb. 8, 2012 4:19 PM

Forelesning 8: Hopf-Steenrod invarianten, Adams-filtrasjonen