메뉴 건너뛰기




Volumn 140, Issue 2, 2000, Pages 453-485

Elliptic genera of toric varieties and applications to mirror symmetry

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034349013     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220000058     Document Type: Article
Times cited : (82)

References (30)
  • 1
    • 0002388726 scopus 로고
    • An algebraic identity
    • 1. W. N. Bailey, An Algebraic Identity, J. London Math. Soc. 11 (1936), 156-160
    • (1936) J. London Math. Soc. , vol.11 , pp. 156-160
    • Bailey, W.N.1
  • 2
    • 0000986417 scopus 로고
    • Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
    • 2. V. V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Algebraic Geom. 3 (1994) 493-535
    • (1994) J. Algebraic Geom. , vol.3 , pp. 493-535
    • Batyrev, V.V.1
  • 5
    • 84968505307 scopus 로고
    • On the rigidity theorems of Witten
    • 5. R. Bott, C. Taubes, On the rigidity theorems of Witten, Journal of A.M.S. 2 (1989), 138-186
    • (1989) Journal of A.M.S. , vol.2 , pp. 138-186
    • Bott, R.1    Taubes, C.2
  • 8
    • 84956099454 scopus 로고
    • The geometry of toric varieties
    • 8. V. I. Danilov, The Geometry of Toric Varieties, Russian Math. Surveys 33 (1978), 97-154
    • (1978) Russian Math. Surveys , vol.33 , pp. 97-154
    • Danilov, V.I.1
  • 9
    • 0001399319 scopus 로고    scopus 로고
    • Elliptic genera of symmetric products and second quantized strings
    • 9. R. Dijkgraaf, D. Moore, E. Verlinde, H. Verlinde, Elliptic genera of symmetric products and second quantized strings, Comm. Math. Phys. 185 (1997), no. 1, 197-209
    • (1997) Comm. Math. Phys. , vol.185 , Issue.1 , pp. 197-209
    • Dijkgraaf, R.1    Moore, D.2    Verlinde, E.3    Verlinde, H.4
  • 10
    • 0001745569 scopus 로고
    • Superconformal algebras and string compactification on manifolds with SU(N) holonomy
    • 10. T. Eguchi, H. Ooguri, A. Taormina, S.-K. Yang, Superconformal algebras and string compactification on manifolds with SU(N) holonomy, Nucl. Phys. B315 (1989), 193
    • (1989) Nucl. Phys. , vol.B315 , pp. 193
    • Eguchi, T.1    Ooguri, H.2    Taormina, A.3    Yang, S.-K.4
  • 11
    • 0002758570 scopus 로고
    • The theory of Jacobi forms
    • Birkhäuser Boston, Inc., Boston, Mass.
    • 11. M. Eichler, D. Zagier, The theory of Jacobi forms, Progress in Mathematics, 55, Birkhäuser Boston, Inc., Boston, Mass., 1985
    • (1985) Progress in Mathematics , vol.55
    • Eichler, M.1    Zagier, D.2
  • 13
    • 0002667315 scopus 로고    scopus 로고
    • Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms
    • preprint math.AG/9906190, to appear in
    • 13. V. Gritsenko, Elliptic genus of Calabi-Yau manifolds and Jacobi and Siegel modular forms, preprint math.AG/9906190, to appear in Algebra i Analiz (St. Petersburg Math. Journal) 11:5 (1999)
    • (1999) Algebra i Analiz (St. Petersburg Math. Journal) , vol.11 , pp. 5
    • Gritsenko, V.1
  • 14
    • 84943656698 scopus 로고    scopus 로고
    • preprint math.AG 9906191
    • 14. V. Gritsenko, Complex vector bundles and Jacobi forms, preprint math.AG 9906191, (1999), to appear in Proceedings of the Symposium "Automorphic forms and L-functions", RIMS, Kyoto, Japan, January 25-29, 1989
    • (1999) Complex Vector Bundles and Jacobi Forms
    • Gritsenko, V.1
  • 15
    • 0002251034 scopus 로고
    • to appear in RIMS, Kyoto, Japan, January 25-29
    • 14. V. Gritsenko, Complex vector bundles and Jacobi forms, preprint math.AG 9906191, (1999), to appear in Proceedings of the Symposium "Automorphic forms and L-functions", RIMS, Kyoto, Japan, January 25-29, 1989
    • (1989) Proceedings of the Symposium "Automorphic forms and L-functions"
  • 16
    • 0003308596 scopus 로고
    • Topological Methods in Algebraic Geometry
    • translated from German and Appendix One by R. L. E. Schwarzenberger. With a preface to the third English edition by the author and Schwarzenberger. Appendix Two by A. Borel. Reprint of the 1978 edition. Springer-Verlag, Berlin
    • 15. F. Hirzebruch, Topological methods in Algebraic Geometry, translated from German and Appendix One by R. L. E. Schwarzenberger. With a preface to the third English edition by the author and Schwarzenberger. Appendix Two by A. Borel. Reprint of the 1978 edition. Classics in Mathematics, Springer-Verlag, Berlin, 1995
    • (1995) Classics in Mathematics
    • Hirzebruch, F.1
  • 17
    • 0002223063 scopus 로고
    • Elliptic genera of level N for complex manifolds
    • Como
    • 16. F. Hirzebruch, Elliptic genera of level N for complex manifolds, Differential Geometric methods in Theoretical Physics (Como 1987). K. Bleuer, M. Werner, Editors, NATO Adv. Sci.Inst.Ser. C: Math. Phys. Sci; 250. Dordrecht, Kluwer Acad.Publ., 1988
    • (1987) Differential Geometric Methods in Theoretical Physics
    • Hirzebruch, F.1
  • 18
    • 0003787266 scopus 로고
    • Dordrecht, Kluwer Acad.Publ.
    • 16. F. Hirzebruch, Elliptic genera of level N for complex manifolds, Differential Geometric methods in Theoretical Physics (Como 1987). K. Bleuer, M. Werner, Editors, NATO Adv. Sci.Inst.Ser. C: Math. Phys. Sci; 250. Dordrecht, Kluwer Acad.Publ., 1988
    • (1988) NATO Adv. Sci.Inst.Ser. C: Math. Phys. Sci , vol.250
    • Bleuer, K.1    Werner, M.2
  • 20
    • 0003773883 scopus 로고    scopus 로고
    • University Lecture Series, American Mathematical Society, Providence, RI
    • 18. V. Kac, Vertex algebras for beginners, University Lecture Series, 10, American Mathematical Society, Providence, RI, 1997
    • (1997) Vertex Algebras for Beginners , vol.10
    • Kac, V.1
  • 21
    • 0001296286 scopus 로고
    • Elliptic Genera and N = 2 superconformal field theory
    • 19. T. Kawai, Y. Yamada, S.-K. Yang, Elliptic Genera and N = 2 Superconformal Field Theory, Nucl. Phys. B414 (1994), 191-212
    • (1994) Nucl. Phys. , vol.B414 , pp. 191-212
    • Kawai, T.1    Yamada, Y.2    Yang, S.-K.3
  • 22
    • 0001725903 scopus 로고
    • Generalized elliptic genera and Baker-Akhiezer functions
    • 20. I. Krichever, Generalized elliptic genera and Baker-Akhiezer functions, Math. Notes 47 (1990), 132-142
    • (1990) Math. Notes , vol.47 , pp. 132-142
    • Krichever, I.1
  • 23
    • 0002045060 scopus 로고
    • Elliptic curves and modular forms in algebraic topology
    • Springer, Berlin
    • 21. P. S. Landweber, Editor, Elliptic curves and modular forms in algebraic topology, Lecture Notes in Math., 1326, Springer, Berlin, 1988
    • (1988) Lecture Notes in Math. , vol.1326
    • Landweber, P.S.1
  • 24
    • 84972535320 scopus 로고
    • Uniqueness of the complex structure on Kähler manifolds of certain homotopy types
    • 22. A. Libgober, J. Wood, Uniqueness of the complex structure on Kähler manifolds of certain homotopy types, J. Differential Geom. 32 (1990), no. 1, 139-154
    • (1990) J. Differential Geom. , vol.32 , Issue.1 , pp. 139-154
    • Libgober, A.1    Wood, J.2
  • 25
    • 0002163194 scopus 로고    scopus 로고
    • Modular forms and topology
    • AMS
    • 23. K. Liu, Modular Forms and Topology, Contemp. Math. 193, AMS, 1996
    • (1996) Contemp. Math. , vol.193
    • Liu, K.1
  • 27
    • 0003358349 scopus 로고
    • Tata lectures on theta. I
    • with the assistance of C. Musili, M. Nori, E. Previato, M. Stillman. Birkhäuser Boston, Inc., Boston, Mass.
    • 25. D. Mumford, Tata lectures on theta. I, with the assistance of C. Musili, M. Nori, E. Previato, M. Stillman. Progress in Mathematics, 28, Birkhäuser Boston, Inc., Boston, Mass., 1983
    • (1983) Progress in Mathematics , vol.28
    • Mumford, D.1
  • 28
    • 0032622960 scopus 로고    scopus 로고
    • The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras
    • 26. C. D. D. Neumann, The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras, J. Geom. Phys. 29 (1999), no. 1-2, 5-12
    • (1999) J. Geom. Phys. , vol.29 , Issue.1-2 , pp. 5-12
    • Neumann, C.D.D.1
  • 29
    • 0002818135 scopus 로고
    • Convex bodies and algebraic geometry - An introduction to the theory of toric varieties
    • Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo
    • 27. T. Oda, Convex Bodies and Algebraic Geometry - An Introduction to the Theory of Toric Varieties, Ergeb. Math. Grenzgeb. (3), vol. 15, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1988
    • (1988) Ergeb. Math. Grenzgeb. , vol.15 , Issue.3
    • Oda, T.1
  • 30
    • 0034415144 scopus 로고    scopus 로고
    • Chern numbers of singular varieties and elliptic homology
    • 28. B. Totaro, Chern numbers of singular varieties and elliptic homology, Annals of Math. 151 (2000)
    • (2000) Annals of Math. , vol.151
    • Totaro, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.