메뉴 건너뛰기




Volumn 237, Issue , 1996, Pages 275-293

Mirror symmetry in dimension 3

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0009993319     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (5)

References (61)
  • 2
    • 0042399656 scopus 로고
    • Calabi-Yau moduli space, mirror manifolds and space-time topology change in string theory
    • hep-th/9309097.
    • P. S. Aspinwall, B. R. Green and D. R. Morrison, Calabi-Yau moduli space, mirror manifolds and space-time topology change in string theory, Nucl. Phys. B416 (1994), 414 - 480, hep-th/9309097.
    • (1994) Nucl. Phys. , vol.B416 , pp. 414-480
    • Aspinwall, P.S.1    Green, B.R.2    Morrison, D.R.3
  • 3
    • 21144482334 scopus 로고
    • Topological field theory and rational curves
    • P. S. Aspinwall and D. R. Morrison, Topological field theory and rational curves, Comm. Math. Phys. 151 (1993), 245 - 262.
    • (1993) Comm. Math. Phys. , vol.151 , pp. 245-262
    • Aspinwall, P.S.1    Morrison, D.R.2
  • 4
    • 0000986417 scopus 로고
    • Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in tone varieties
    • alg-geom/9310003.
    • V. V. Batyrev, Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in tone varieties, Jour. Alg. Geom. 3 (1994), 493 - 535, alg-geom/9310003.
    • (1994) Jour. Alg. Geom. , vol.3 , pp. 493-535
    • Batyrev, V.V.1
  • 7
    • 84972540534 scopus 로고
    • Variétés kahlériennes dont la première classe de Chern est nulle
    • A. Beauville, Variétés kahlériennes dont la première classe de Chern est nulle, Jour. Diff. Geom. 18 (1983), 755 - 782.
    • (1983) Jour. Diff. Geom. , vol.18 , pp. 755-782
    • Beauville, A.1
  • 8
    • 13444256444 scopus 로고
    • Holomorphic anomalies in topological field theories
    • with an appendix by S. Katz
    • M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Holomorphic anomalies in topological field theories, with an appendix by S. Katz, Nucl. Phys. B405 (1993), 298 - 304.
    • (1993) Nucl. Phys. , vol.B405 , pp. 298-304
    • Bershadsky, M.1    Cecotti, S.2    Ooguri, H.3    Vafa, C.4
  • 9
    • 0011625532 scopus 로고
    • Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
    • M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Comm. Math. Phys. 165 (1994), 311 - 427.
    • (1994) Comm. Math. Phys. , vol.165 , pp. 311-427
    • Bershadsky, M.1    Cecotti, S.2    Ooguri, H.3    Vafa, C.4
  • 12
    • 0001614238 scopus 로고
    • On the decomposition of Kahler manifolds with trivial canonical class
    • F. A. Bogomolov, On the decomposition of Kahler manifolds with trivial canonical class, Math. USSR Sbornik 22 (1974), 580 - 583.
    • (1974) Math. USSR Sbornik , vol.22 , pp. 580-583
    • Bogomolov, F.A.1
  • 14
    • 0000367453 scopus 로고
    • Generalized Calabi-Yau manifolds and the mirror of a rigid manifold
    • P. Candelas, E. Derrick and L. Parkes, Generalized Calabi-Yau manifolds and the mirror of a rigid manifold, Nucl. Phys. B 407 (1993), 115 - 154.
    • (1993) Nucl. Phys. B , vol.407 , pp. 115-154
    • Candelas, P.1    Derrick, E.2    Parkes, L.3
  • 15
    • 0009232528 scopus 로고
    • Complete intersection CalabiYau manifolds. II. Three generation manifolds
    • P. Candelas, C. A. Lxitken and R. Schimmrigk, Complete intersection CalabiYau manifolds. II. Three generation manifolds, Nucl. Phys. B30G (1988), 113 - 136.
    • (1988) Nucl. Phys. , vol.B30G , pp. 113-136
    • Candelas, P.1    Lxitken, C.A.2    Schimmrigk, R.3
  • 17
    • 0002925364 scopus 로고
    • A pair of CalabiYau manifolds as an exactly soluble superconformai theory
    • 21 - 74, and also in [60]
    • P. Candelas, X. C. de la Ossa, P. S. Green and L. Parkes, A pair of CalabiYau manifolds as an exactly soluble superconformai theory, Nucl. Phys. B359 (1991), 21 - 74, and also in [60], pp. 31 - 95.
    • (1991) Nucl. Phys. , vol.B359 , pp. 31-95
    • Candelas, P.1    De La Ossa, X.C.2    Green, P.S.3    Parkes, L.4
  • 18
    • 0001165006 scopus 로고
    • Mirror symmetry for two-parameter models - II
    • hep-th/9403187.
    • P. Candelas, A. Font, S. Katz and D. G. Morrison, Mirror symmetry for two-parameter models - II, Nucl. Phys. B429 (1994), 624 - 674, hep-th/9403187.
    • (1994) Nucl. Phys. , vol.B429 , pp. 624-674
    • Candelas, P.1    Font, A.2    Katz, S.3    Morrison, D.G.4
  • 19
    • 0001050366 scopus 로고
    • Double solids
    • H. Clemens, Double solids, Adv. Math. 47 (1983), 107 - 230.
    • (1983) Adv. Math. , vol.47 , pp. 107-230
    • Clemens, H.1
  • 20
    • 0001924611 scopus 로고
    • Some world-sheet properties of superstring compactifications, on orbifolds and otherwise
    • G. Furlan et al. eds., World Scientific, Singapore
    • L. J. Dixon, Some world-sheet properties of superstring compactifications, on orbifolds and otherwise, Superstrings, Unified Theories and Cosmology 1987 (G. Furlan et al. eds.), World Scientific, Singapore, 1988, pp. 67 - 126.
    • (1988) Superstrings, Unified Theories and Cosmology 1987 , pp. 67-126
    • Dixon, L.J.1
  • 21
    • 0012500864 scopus 로고    scopus 로고
    • The number of twisted cubic curves on the general quintic threefold
    • to appear.
    • G. Ellingsrud and S. A. Str0mme, The number of twisted cubic curves on the general quintic threefold, Math. Scan., to appear.
    • Math. Scan.
    • Ellingsrud, G.1    Stromme, S.A.2
  • 22
    • 0002991121 scopus 로고
    • On threefolds with trivial canonical bundle
    • American Mathematical Society, Providence
    • R. Friedman, On threefolds with trivial canonical bundle, Complex Geometry and Lie Theory (Proc. Symp. Pure Math., vol. 53), American Mathematical Society, Providence, 1991, pp. 103 - 134.
    • (1991) Complex Geometry And Lie Theory Proc. Symp. Pure Math. , vol.53 , pp. 103-134
    • Friedman, R.1
  • 25
    • 0002493947 scopus 로고
    • Duality in Calabi-Yau moduli space
    • B. R. Green and M. R. Plesser, Duality in Calabi-Yau moduli space, Nucl. Phys. B338 (1990), 15 - 37.
    • (1990) Nucl. Phys. , vol.B338 , pp. 15-37
    • Green, B.R.1    Plesser, M.R.2
  • 26
    • 0011564032 scopus 로고
    • Connecting moduli spaces of Calabi-Yau threefolds
    • P. S. Green and T. Hübsch, Connecting moduli spaces of Calabi-Yau threefolds, Comm. Math. Phys. 119 (1988), 431 - 441
    • (1988) Comm. Math. Phys. , vol.119 , pp. 431-441
    • Green, P.S.1    Hübsch, T.2
  • 27
    • 0011561322 scopus 로고
    • AI the Hodge numbers for all CalabiYau complete intersections
    • P. Green, T. Hübsch and C. A. Lütken, AI the Hodge numbers for all CalabiYau complete intersections, Class. Quantum Grav. 6 (1989), 105 - 124.
    • (1989) Class. Quantum Grav. , vol.6 , pp. 105-124
    • Green, P.1    Hübsch, T.2    Lütken, C.A.3
  • 28
    • 0040804374 scopus 로고
    • Pseudo holomorphic curves in symplectic manifolds
    • M. Gromov, Pseudo holomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), 307 - 247.
    • (1985) Invent. Math. , vol.82 , pp. 307-1247
    • Gromov, M.1
  • 30
    • 33646066267 scopus 로고
    • Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
    • hep-th/9308122
    • S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces, Comm. Math. Phys. 167 (1995), 301 - 350, hep-th/9308122.
    • (1995) Comm. Math. Phys. , vol.167 , pp. 301-350
    • Hosono, S.1    Klemm, A.2    Theisen, S.3    Yau, S.T.4
  • 31
    • 0010891407 scopus 로고
    • Mirror symmetry, mirror map and applications to complete intersections Calabi-Yau spaces
    • hep-th/9406055
    • S. Hosono, A. Klemm, S. Theisen and S.-T. Yau, Mirror symmetry, mirror map and applications to complete intersections Calabi-Yau spaces, Nucl. Phys. B433 (1995), 501 - 544, hep-th/9406055.
    • (1995) Nucl. Phys. , vol.B433 , pp. 501-544
    • Hosono, S.1    Klemm, A.2    Theisen, S.3    Yau, S.T.4
  • 33
    • 33747496791 scopus 로고
    • Rational curves on Calabi-Yau manifolds: Verifying predictions of mirror symmetry
    • E. Ballico. ed., Marcel Dekker, alg-geom/9301006.
    • S. Katz, Rational curves on Calabi-Yau manifolds: verifying predictions of mirror symmetry, Projective Geometry with Applications (E. Ballico. ed.), Marcel Dekker, 1994, pp. 231 - 239, alg-geom/9301006.
    • (1994) Projective Geometry with Applications , pp. 231-239
    • Katz, S.1
  • 35
    • 33646049827 scopus 로고
    • Chiral rings in N = 1 superconformai theories
    • W. Lerche, C. Vafa and N. Warner, Chiral rings in N = 1 superconformai theories, Nucl. Phys. B324 (1984), 427 - 474.
    • (1984) Nucl. Phys. , vol.B324 , pp. 427-474
    • Lerche, W.1    Vafa, C.2    Warner, N.3
  • 37
    • 84963014741 scopus 로고
    • Lines on Calabi-Yau complete intersections, mirror symmetry and Picard-Fuchs equations
    • A. Libgober and J. Teitelbaum, Lines on Calabi-Yau complete intersections, mirror symmetry and Picard-Fuchs equations, Intern. Math. Res. Not. 1 (1993). 29 - 39.
    • (1993) Intern. Math. Res. Not. , vol.1 , pp. 29-39
    • Libgober, A.1    Teitelbaum, J.2
  • 40
    • 0000176521 scopus 로고
    • Description of a class of superstring compactifications related to semi-simple Lie algebras
    • D. G. Markushevich, M. A. Olshanetsky and A. M. Perelomov. Description of a class of superstring compactifications related to semi-simple Lie algebras. Comm. Math. Phys. Ill (1987), 247 - 274.
    • (1987) Comm. Math. Phys. Ill , pp. 247-274
    • Markushevich, D.G.1    Olshanetsky, M.A.2    Perelomov, A.M.3
  • 42
    • 84968504268 scopus 로고
    • Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians
    • D. Morrison, Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians. J. Amer. Math. Soc. 6 (1993), 223 - 247.
    • (1993) J. Amer. Math. Soc. , vol.6 , pp. 223-247
    • Morrison, D.1
  • 45
    • 0000116577 scopus 로고
    • Deformations of manifolds with torsion or negative canonical bundle
    • Z. Ran, Deformations of manifolds with torsion or negative canonical bundle, J. Alg. Geom. 1 (1992), 279 - 291
    • (1992) J. Alg. Geom. , vol.1 , pp. 279-291
    • Ran, Z.1
  • 46
    • 0001045490 scopus 로고
    • The moduli space of 3-folds with K = 0 may nevertheless be irreducible
    • M. Reid, The moduli space of 3-folds with K = 0 may nevertheless be irreducible, Math. Ann. 278 (1987), 329 - 334.
    • (1987) Math. Ann. , vol.278 , pp. 329-334
    • Reid, M.1
  • 47
    • 84972539545 scopus 로고
    • On the generalization of Kummer surfaces
    • S. S. Roan, On the generalization of Kummer surfaces, Jour. DifF. Geom. 30 (1983), 523 - 537.
    • (1983) Jour. DifF. Geom. , vol.30 , pp. 523-537
    • Roan, S.S.1
  • 51
    • 0001186561 scopus 로고
    • A mathematical theory of quantum cohomology
    • Y. Ruan and G. Tian, A mathematical theory of quantum cohomology, Math. Res. Lett. 1 (1994), 269 - 278.
    • (1994) Math. Res. Lett. , vol.1 , pp. 269-278
    • Ruan, Y.1    Tian, G.2
  • 53
    • 0000585556 scopus 로고
    • Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Peterson-Weil metric, in
    • S.-T. Yau, ed., World Scientific, Singapore
    • G. Tian, Smoothness of the universal deformation space of compact Calabi-Yau manifolds and its Peterson-Weil metric, in "Mathematical Aspects of String Theory" (S.-T. Yau, ed.), World Scientific, Singapore, 1987, pp. 629 - 646.
    • (1987) Mathematical Aspects of String Theory , pp. 629-646
    • Tian, G.1
  • 55
    • 0001261571 scopus 로고
    • The Weil-Petersson geometry of the moduli space of SU(n > 3) (Calabi-Yau) manifolds, I
    • .A. Todorov, The Weil-Petersson geometry of the moduli space of SU(n > 3) (Calabi-Yau) manifolds, I, Comm. Math. Phys. 126 (1989), 325 - 346.
    • (1989) Comm. Math. Phys. , vol.126 , pp. 325-346
    • Todorov, A.1
  • 56
    • 0001360882 scopus 로고
    • Miroirs et involutions sur les surfaces K3, Journées de Géométrie Algébrique d'Orsay (Juillet 1992)
    • Société Mathématique de France
    • C. Voisin, Miroirs et involutions sur les surfaces K3, Journées de Géométrie Algébrique d'Orsay (Juillet 1992), Astérisque, vol. 218, Société Mathématique de France, 1993, pp. 273 - 323.
    • (1993) Astérisque , vol.218 , pp. 273-323
    • Voisin, C.1
  • 57
    • 0001461975 scopus 로고
    • Classification problems in topology V: On certain G-manifolds
    • C. T. C. Wall, Classification problems in topology V: On certain G-manifolds, Invent. Math. 1 (1966), 355 - 374.
    • (1966) Invent. Math. , vol.1 , pp. 355-374
    • Wall, C.T.C.1
  • 59
    • 84980156699 scopus 로고
    • On the Ricci curvature of a compact Kahler manifold and the complex Monge-Ampere equation. I
    • S.-T. Yau, On the Ricci curvature of a compact Kahler manifold and the complex Monge-Ampere equation. I, Comm. Pure and AppLMath. 31 (1978), 339 -411.
    • (1978) Comm. Pure and AppLMath. , vol.31 , pp. 339-411
    • Yau, S.T.1
  • 60
    • 0003913073 scopus 로고
    • S.-T. Yau (ed.), International Press Co., Hong Kong
    • S.-T. Yau (ed.), Essays on Mirror Manifolds, International Press Co., Hong Kong (1992).
    • (1992) Essays on Mirror Manifolds
  • 61
    • 0001897735 scopus 로고
    • Compact three-dimensional Kahler manifolds with zero Ricci curvature
    • [tangentGl] Chicago
    • [tangentGl] S.-T. Yau, Compact three-dimensional Kahler manifolds with zero Ricci curvature, Symposium on Anomalies, Geometry, Topology (Chicago, 111., 1985), 395 -406.
    • (1985) Symposium on Anomalies, Geometry, Topology , vol.111 , pp. 395-406
    • Yau, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.