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Volumn 38, Issue 2, 1999, Pages 387-425

The topological q-expansion principle

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EID: 0033096221     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(98)00019-6     Document Type: Article
Times cited : (24)

References (49)
  • 1
    • 0000934142 scopus 로고
    • Vector fields on spheres
    • Adams, J. F., Vector fields on spheres, Annals of Mathematics (2), 1962, 75, 603-32.
    • (1962) Annals of Mathematics , vol.75 , Issue.2 , pp. 603-632
    • Adams, J.F.1
  • 2
    • 1942458771 scopus 로고
    • On the groups J(X) II
    • Adams, J. F., On the groups J(X) II, Topology, 1965, 3, 137-171.
    • (1965) Topology , vol.3 , pp. 137-171
    • Adams, J.F.1
  • 3
    • 0002312835 scopus 로고
    • On the groups J(X) IV
    • Adams, J. F., On the groups J(X) IV, Topology, 1966, 5, 21-71.
    • (1966) Topology , vol.5 , pp. 21-71
    • Adams, J.F.1
  • 4
    • 0002464902 scopus 로고
    • Lectures on generalised cohomology
    • Lecture Notes in Math. Springer, Berlin, Heidelberg, New York
    • Adams, J. F., Lectures on generalised cohomology, In Category Theory, Homology Theory and Their Applications III, Lecture Notes in Math. 99, Springer, Berlin, Heidelberg, New York, 1969, pp. 1-138.
    • (1969) Category Theory, Homology Theory and Their Applications III , vol.99 , pp. 1-138
    • Adams, J.F.1
  • 10
    • 33646879864 scopus 로고    scopus 로고
    • Representations of loop groups, Dirac operators on loop space, and modular forms
    • Brylinski, J. L., Representations of loop groups, Dirac operators on loop space, and modular forms, Topology, 29, (4), 461-480.
    • Topology , vol.29 , Issue.4 , pp. 461-480
    • Brylinski, J.L.1
  • 11
    • 0002223601 scopus 로고
    • Cooperations in elliptic homology
    • London Math. Soc., Lecture Notes Series
    • Clarke, F. and Johnson, K., Cooperations in elliptic homology, In Adams Memorial Symposium on Algebraic Topology, London Math. Soc., Lecture Notes Series 1992, 175, 131-143.
    • (1992) Adams Memorial Symposium on Algebraic Topology , vol.175 , pp. 131-143
    • Clarke, F.1    Johnson, K.2
  • 13
    • 0000133160 scopus 로고
    • Les schemas de modules de courbes elliptique
    • Springer, Berlin
    • Deligne, D. and Rapaport, M., Les schemas de modules de courbes elliptique, In: Modular Functions of One Variable II, LNM 349, Springer, Berlin, 1972, 143-316.
    • (1972) Modular Functions of One Variable II, LNM , vol.349 , pp. 143-316
    • Deligne, D.1    Rapaport, M.2
  • 14
    • 0004234790 scopus 로고
    • W. A. Benjamin, Inc., Reading, MA
    • Dyer, E., Cohomology Theories, W. A. Benjamin, Inc., Reading, MA, 1969.
    • (1969) Cohomology Theories
    • Dyer, E.1
  • 15
    • 84985426223 scopus 로고
    • On the construction of elliptic cohomology
    • Franke, J., On the construction of elliptic cohomology, Math. Nachrichten 158, 1992, 43-65.
    • (1992) Math. Nachrichten , vol.158 , pp. 43-65
    • Franke, J.1
  • 16
    • 0003240821 scopus 로고
    • Arithmetic of p-adic modular forms
    • Springer, Berlin, Heidelberg, New York
    • Gouvea, F. Q., Arithmetic of p-adic modular forms, Lecture Notes in Math. 1304, Springer, Berlin, Heidelberg, New York, 1988.
    • (1988) Lecture Notes in Math. , vol.1304
    • Gouvea, F.Q.1
  • 19
    • 0000922206 scopus 로고
    • Topological modular forms, the Witten genus and the theorem of the cube
    • Hopkins, M. J., Topological modular forms, the Witten genus and the theorem of the cube, Proceedings of the ICM 1994, 554-565.
    • (1994) Proceedings of the ICM , pp. 554-565
    • Hopkins, M.J.1
  • 20
    • 84966237661 scopus 로고
    • A proof of the existence of level 1 elliptic cohomology
    • Hovey, M., A proof of the existence of level 1 elliptic cohomology, Proceedings of the AMS 188, 1993, 1331-1334.
    • (1993) Proceedings of the AMS , vol.188 , pp. 1331-1334
    • Hovey, M.1
  • 21
    • 0009178536 scopus 로고
    • The 7-connected cobordism ring at p = 3
    • Hovey, M. A., Ravenel, D. C., The 7-connected cobordism ring at p = 3, Transactions AMS 347, 1995, 3473-3502.
    • (1995) Transactions AMS , vol.347 , pp. 3473-3502
    • Hovey, M.A.1    Ravenel, D.C.2
  • 22
    • 0000542625 scopus 로고
    • Cyclic homology and equivariant homology
    • Jones, J. D. S., Cyclic homology and equivariant homology, Inventiones Mathematicae, 87, 403-423 (1987).
    • (1987) Inventiones Mathematicae , vol.87 , pp. 403-423
    • Jones, J.D.S.1
  • 23
    • 0002570232 scopus 로고
    • p-adic properties of modular schemes and modular forms
    • LNM, Springer, Berlin
    • Katz, N. M., p-adic properties of modular schemes and modular forms, In: Modular Functions of One Variable III, LNM 350, Springer, Berlin 1973, 69-140.
    • (1973) Modular Functions of One Variable III , vol.350 , pp. 69-140
    • Katz, N.M.1
  • 24
    • 0001303828 scopus 로고
    • Higher congruences between modular forms
    • Katz, N. M., Higher congruences between modular forms, Annals of Mathematics, (2) 1975, 101, 332-367.
    • (1975) Annals of Mathematics , vol.101 , Issue.2 , pp. 332-367
    • Katz, N.M.1
  • 26
    • 0001703764 scopus 로고
    • Interpolation of real analytic Eisenstein series
    • Katz, N. M., Interpolation of real analytic Eisenstein series, Annals of Mathematics 1976, 104, 459-557.
    • (1976) Annals of Mathematics , vol.104 , pp. 459-557
    • Katz, N.M.1
  • 28
    • 0003956970 scopus 로고
    • Addison-Wesley, Reading, MA
    • Lang, S., Algebra, Addison-Wesley, Reading, MA, 1984.
    • (1984) Algebra
    • Lang, S.1
  • 30
    • 0001929835 scopus 로고
    • Supersingular elliptic curves and congruences for legendre polynomials
    • Lecture Notes in Math., Springer Berlin and New York
    • Landweber, P. S., Supersingular elliptic curves and congruences for legendre polynomials, In Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Math., 1326, Springer Berlin and New York, 1986, 69-93.
    • (1986) Elliptic Curves and Modular Forms in Algebraic Topology , vol.1326 , pp. 69-93
    • Landweber, P.S.1
  • 31
    • 0002045058 scopus 로고
    • Elliptic cohomology and modular forms
    • Lecture Notes in Math. Springer, Berlin and New York
    • Landweber. P. S., Elliptic cohomology and modular forms, In Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Math. 1326, Springer, Berlin and New York, 1986, 55-68.
    • (1986) Elliptic Curves and Modular Forms in Algebraic Topology , vol.1326 , pp. 55-68
    • Landweber, P.S.1
  • 32
    • 0000452675 scopus 로고
    • Periodic cohomology theories defined by elliptic curves
    • eds. M. Cenkl and H. Miller Contemporary Mathematics American Mathematical Society Providence
    • Landweber, P. S., Ravenel, D. C. and Stong, R. E., Periodic cohomology theories defined by elliptic curves, In: The Cech Centennial: A Conference on Homotopy Theory, eds. M. Cenkl and H. Miller Contemporary Mathematics 181, American Mathematical Society Providence (1995), 317-337.
    • (1995) The Cech Centennial: A Conference on Homotopy Theory , vol.181 , pp. 317-337
    • Landweber, P.S.1    Ravenel, D.C.2    Stong, R.E.3
  • 33
    • 85034191276 scopus 로고
    • Forschergruppe: Topologie und nichtkommutative Geometrie, Heft Nr. Heidelberg
    • Laures, G., Parametrisierte Spektren, Forschergruppe: Topologie und nichtkommutative Geometrie, Heft Nr. 69, Heidelberg, 1993.
    • (1993) Parametrisierte Spektren , vol.69
    • Laures, G.1
  • 35
    • 0000684416 scopus 로고
    • The elliptic character and the Witten genus
    • eds. M. Mahowald and S. Priddy
    • Miller, H. R., The elliptic character and the Witten genus, In Agebraic Topology, eds. M. Mahowald and S. Priddy, 96, (1989), 281-289.
    • (1989) Agebraic Topology , vol.96 , pp. 281-289
    • Miller, H.R.1
  • 37
    • 0000178226 scopus 로고
    • Periodic phenomena in the Adams-Novikov spectral sequence
    • Miller, H. R., Ravenel, D. C. and Wilson, W. S., Periodic phenomena in the Adams-Novikov spectral sequence, Annals of Mathematics, 1977, 106, 469-516.
    • (1977) Annals of Mathematics , vol.106 , pp. 469-516
    • Miller, H.R.1    Ravenel, D.C.2    Wilson, W.S.3
  • 38
    • 0003863511 scopus 로고
    • Oxford Science Publ., Clarendon Press, Oxford
    • Pressley, A. and Segal, G. Loop Groups, Oxford Science Publ., Clarendon Press, Oxford, 1986.
    • (1986) Loop Groups
    • Pressley, A.1    Segal, G.2
  • 39
    • 0002984545 scopus 로고
    • Elementary proofs of some results of cobordism theory using Steenrod operations
    • Quillen, D., Elementary proofs of some results of cobordism theory using Steenrod operations, Advances in Mathematics, 7, 1971, 29-56.
    • (1971) Advances in Mathematics , vol.7 , pp. 29-56
    • Quillen, D.1
  • 41
    • 85034178132 scopus 로고
    • Seminaire Bourbaki, 40e annee
    • Segal, G., Elliptic Cohomology, Seminaire Bourbaki, 40e annee, 1987-88, no. 695.
    • (1987) Elliptic Cohomology , vol.695
    • Segal, G.1
  • 42
    • 0013514977 scopus 로고
    • Seminaire Bourbaki LNM Springer, Berlin, Heidelberg, New York
    • Serre, J.-P., Congruences et Formes Modulaires, Expose no 416, Seminaire Bourbaki 1971/1972, LNM 317, Springer, Berlin, Heidelberg, New York, 319-338.
    • (1971) Congruences et Formes Modulaires, Expose no 416 , vol.317 , pp. 319-338
    • Serre, J.-P.1
  • 43
    • 0001416886 scopus 로고
    • Formes modulaires et fonctions zeta p-adiques
    • LNM Springer, Berlin, Heidelberg, New York
    • Serre, J.-P., Formes modulaires et fonctions zeta p-adiques, In Modular Functions of One Variable III, LNM 350, Springer, Berlin, Heidelberg, New York, 1973.
    • (1973) Modular Functions of One Variable III , vol.350
    • Serre, J.-P.1
  • 44
    • 0003583758 scopus 로고
    • GTM, Springer, Berlin, Heidelberg, New York
    • Serre, J.-P. A Course in Arithmetic, GTM 7, Springer, Berlin, Heidelberg, New York, 1973.
    • (1973) A Course in Arithmetic , vol.7
    • Serre, J.-P.1
  • 48
    • 0002045062 scopus 로고
    • The index of the Dirac operator in loop space
    • Lecture Notes in Math. Springer, Berlin and New York
    • Witten, E., The index of the Dirac operator in loop space, In Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Math. 1326, Springer, Berlin and New York, 1986, 161-181.
    • (1986) Elliptic Curves and Modular Forms in Algebraic Topology , vol.1326 , pp. 161-181
    • Witten, E.1
  • 49
    • 0009414790 scopus 로고
    • Note on the Landweber-Stong elliptic genus
    • Lecture Notes in Math. Springer, Berlin and New York
    • Zagier, D., Note on the Landweber-Stong elliptic genus, In: Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Math. 1326, Springer, Berlin and New York, 1986, 216-224.
    • (1986) Elliptic Curves and Modular Forms in Algebraic Topology , vol.1326 , pp. 216-224
    • Zagier, D.1


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