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Volumn 352, Issue 12, 2000, Pages 5619-5666

Power operations in elliptic cohomology and representations of loop groups

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EID: 23044523162     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-00-02412-0     Document Type: Article
Times cited : (44)

References (40)
  • 1
    • 0000444918 scopus 로고
    • A variant of E. H. Brown's reprcsentability theorem
    • [Ada71] MR
    • [Ada71] J. Frank Adams. A variant of E. H. Brown's reprcsentability theorem. Topology, 10, 1971. MR 44:1018
    • (1971) Topology , vol.10 , pp. 1018
    • Frank Adams, J.1
  • 2
    • 84974000281 scopus 로고
    • Isogenies of formal group laws and power operations in the cohomology theories
    • [And95] MR
    • [And95] Matthew Ando. Isogenies of formal group laws and power operations in the cohomology theories En. Duke Math. J., 79(2), 1995. MR 97a:55006
    • (1995) En. Duke Math. J. , vol.79 , Issue.2 , pp. 55006
    • Ando, M.1
  • 3
    • 38249019954 scopus 로고
    • Hecke operators as operations in elliptic cohomology
    • [Bak90] MR
    • [Bak90] Andrew Baker. Hecke operators as operations in elliptic cohomology. J. Pure and Applied Algebra, 63:1-11, 1990. MR 91m:55005
    • (1990) J. Pure and Applied Algebra , vol.63 , pp. 55005
    • Baker, A.1
  • 6
    • 33646879864 scopus 로고
    • Representations of loop groups, Dirac operators on loop space, and modular forms
    • [Bry90] MR
    • [Bry90] Jean-Luc Brylinski. Representations of loop groups, Dirac operators on loop space, and modular forms. Topology, 29:461-480, 1990. MR 91:58151
    • (1990) Topology , vol.29 , pp. 58151
    • Brylinski, J.-L.1
  • 7
    • 84971195162 scopus 로고
    • Liftings of formal groups and the Artinian completion of
    • [BW89] MR
    • -1BP. Math. Proc. Cambridge Phil. Soc., 106:511-530, 1989. MR 901:55008
    • (1989) n , vol.123 , pp. 55008
    • Baker, A.J.1    Würgler, U.2
  • 8
    • 0008984082 scopus 로고
    • Courbes elliptiques: Formulaire (d'après J. Täte)
    • [De175] of Springer Lecture Notes, MR
    • [De175] Pierre Deligne. Courbes elliptiques: formulaire (d'après J. Täte). In Modular functions of one variable IV, volume 476 of Springer Lecture Notes, 1975. MR 52:8135
    • (1975) Modular Functions of One Variable IV , vol.476 , pp. 8135
    • Deligne, P.1
  • 10
    • 0000133160 scopus 로고
    • Les schémas de modules de courbes elliptiques. in
    • [DR73] MR
    • [DR73] P. Deligne and M. Rapoport. Les schémas de modules de courbes elliptiques. In Modular functions of one variable II, volume 349 of Springer Lecture Notes, 1973. MR 52:3177
    • (1973) Modular Functions of One Variable II , vol.349 , pp. 3177
    • Deligne, P.1    Rapoport, M.2
  • 11
    • 84957131582 scopus 로고
    • Elliptic modules
    • [Dri73] MR
    • [Dri73] V. G. Drinfeld. Elliptic modules. Math. USSR, Sbornik, 23, 1973. MR 52:5580
    • (1973) Math. USSR, Sbornik , vol.23 , pp. 5580
    • Drinfeld, V.G.1
  • 12
    • 0002370916 scopus 로고
    • Representations of affine Lie algebras, Hecke modular forms, and Korteweg-de Vries type equations. in
    • [Fre82] MR
    • [Fre82] I. B. Prenkel. Representations of affine Lie algebras, Hecke modular forms, and Korteweg-de Vries type equations. In Lie algebras and related topics, volume 933 of Lecture Notes in Mathematics. Springer, 1982. MR 84f:17006
    • (1982) Lie Algebras and Related Topics , vol.933 , pp. 17006
    • Prenkel, I.B.1
  • 15
    • 33646866618 scopus 로고
    • On the structure of spaces representing a Landweber exact cohomology theory
    • [HH95] MR
    • [HH95] Michael J. Hopkins and John R. Hunton. On the structure of spaces representing a Landweber exact cohomology theory. Topology, 34, 1995. MR 95k:55009
    • (1995) Topology , vol.34 , pp. 55009
    • Hopkins, M.J.1    Hunton, J.R.2
  • 19
    • 0038974586 scopus 로고
    • On the transformation theory of elliptic functions
    • [Igu59] MR
    • [Igu59] J. Igusa. On the transformation theory of elliptic functions. Amer. J. Math., 81, 1959. MR 21:3421
    • (1959) Amer. J. Math. , vol.81 , pp. 3421
    • Igusa, J.1
  • 20
    • 0000582334 scopus 로고
    • Projective dimension and Brown-Peterson homology
    • [JW73] MR 48:12596
    • [JW73] David C. Johnson and W. Stephen Wilson. Projective dimension and Brown-Peterson homology. Topology, 12:327-353, 1973. MR 48:12596
    • (1973) Topology , vol.12
    • Johnson, D.C.1    Stephen Wilson, W.2
  • 24
    • 33646887407 scopus 로고
    • Branching functions for winding subalgebras and tensor products
    • [KW90] MR
    • [KW90] V. G. Kac and M..Wakimoto. Branching functions for winding subalgebras and tensor products. Ada Appl. Math. 21, 1990. MR 92a:17037
    • (1990) Ada Appl. Math. , vol.21 , pp. 17037
    • Kac, V.G.1    Wakimoto, M.2
  • 25
    • 33646872691 scopus 로고
    • Root systems and elliptic curves
    • [Loo76] MR
    • [Loo76] Eduard Looijenga. Root systems and elliptic curves. Inventiones Math., 38, 1976. MR 57:6015
    • (1976) Inventiones Math. , vol.38 , pp. 6015
    • Looijenga, E.1
  • 26
    • 0000452675 scopus 로고
    • Periodic cohomology theories defined by elliptic curves
    • [LRS95] MR
    • [LRS95] Peter S. Landweber, Douglas C. Ravenel, and Robert E. Stong. Periodic cohomology theories defined by elliptic curves. Contemporary Mathematics, 181, 1995. MR 961:55009
    • (1995) Contemporary Mathematics , vol.181 , pp. 55009
    • Landweber, P.S.1    Ravenel, D.C.2    Stong, R.E.3
  • 27
    • 0000453557 scopus 로고
    • Formal complex multiplication in local fields
    • [LT65] MR
    • [LT65] Jonathan Lubin and John Täte. Formal complex multiplication in local fields. Annals of Math., 81:380-387, 1965. MR 30:3094
    • (1965) Annals of Math. , vol.81 , pp. 3094
    • Lubin, J.1    Täte, J.2
  • 28
    • 0011000748 scopus 로고
    • Finite subgroups and isogenies of one-parameter formal Lie groups
    • [Lub67] MR
    • [Lub67] Jonathan Lubin. Finite subgroups and isogenies of one-parameter formal Lie groups. Annals of Math., 85:296-302, 1967. MR 35:189
    • (1967) Annals of Math. , vol.85 , pp. 189
    • Lubin, J.1
  • 30
    • 0010856532 scopus 로고
    • Forms of theory
    • [Mor89] MR 90e:55011
    • [Mor89] Jack Morava. Forms of theory. Math. Z., 201:401-428, 1989. MR 90e:55011
    • (1989) Math. Z. , vol.201 , pp. 401-428
    • Morava, J.1
  • 31
    • 0004070495 scopus 로고
    • [MumTO] of Tata Institute of Fundamental Research Series in Mathematics. Oxford University Press, MR 44:219
    • [MumTO] David Mumford. Abelian Varieties, volume 5 of Tata Institute of Fundamental Research Series in Mathematics. Oxford University Press, 1970. MR 44:219
    • (1970) Abelian Varieties , vol.5
    • Mumford, D.1
  • 32
    • 33646882884 scopus 로고
    • [Murn91] MR
    • [Murn91] David Mumford. Tata lectures on theta III, volume 97 of Progress in Mathematics. Birkhäuser, 1991. MR 93d:14065
    • (1991) Tata Lectures on Theta III , vol.97 , pp. 14065
    • Mumford, D.1
  • 35
    • 0000127774 scopus 로고
    • Elliptic cohomology
    • [Seg88] MR
    • [Seg88] Graeme Segal. Elliptic cohomology. Seminaire Bourbaki, (695), 1988. MR 91b:55005
    • (1988) Seminaire Bourbaki , vol.19 , pp. 55005
    • Segal, G.1
  • 36
  • 38
    • 0031586408 scopus 로고    scopus 로고
    • Finite subgroups of formal groups
    • [Str97] MR 98k:14065
    • [Str97] Neu P. Strickland. Finite subgroups of formal groups. J. Pure and Applied Algebra, 121:161-208, 1997. MR 98k:14065
    • (1997) J. Pure and Applied Algebra , vol.121 , pp. 161-208
    • Strickland, N.P.1


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