Article:Alg-geom/9504013/unidentified-references

  

 P.~S. Aspinwall, B.~R. Greene, and D.~R. Morrison, {\em The monomial-divisor   mirror map}, Internat. Math. Res. Notices (1993), 319--337.  

 \bysame, {\em {C}alabi--{Y}au moduli space, mirror manifolds and spacetime   topology change in string theory}, Nuclear Phys. B {\bf 416} (1994),   414--480.  

 \bysame, {\em Measuring small distances in {$N{=}2$} sigma models}, Nuclear   Phys. B {\bf 420} (1994), 184--242.  

 P.~S. Aspinwall and C.~A. L{\"u}tken, {\em Quantum algebraic geometry of   superstring compactifications}, Nuclear Phys. B {\bf B355} (1991), 482--510.  

 P.~S. Aspinwall and D.~R. Morrison, {\em Topological field theory and rational   curves}, Comm. Math. Phys. {\bf 151} (1993), 245--262.  

 \bysame, {\em Chiral rings do not suffice: {$N{=}(2,2)$} theories with nonzero   fundamental group}, Phys. Lett. B {\bf 334} (1994), 79--86.  

 \bysame, {\em Stable singularities in string theory}\/ (with an appendix by   {M}.~{G}ross), Cornell preprint CLNS-95-1325, 1995.  

 V.~V. Batyrev, %\bysame, {\em Variations of the mixed {H}odge structure of affine hypersurfaces   in algebraic tori}, Duke Math. J. {\bf 69} (1993), 349--409.  

 %V.~V. Batyrev, \bysame, {\em Quantum cohomology rings of toric manifolds}, Journ\'ees de   G\'eom\'etrie Alg\'ebrique d'Orsay (Juillet 1992), Ast\'erisque, vol. 218,   Soci\'et\'e Math\-\'ematique de France, 1993, pp.~9--34.  

 V.~V. Batyrev and D.~van Straten, {\em Generalized hypergeometric functions and   rational curves on {C}alabi--{Y}au complete intersections in toric   varieties}, Comm. Math. Phys., to appear.  

 P.~Berglund, P.~Candelas, X.~de~la Ossa, A.~Font, T.~H{\"u}bsch, D.~Jan{\v   c}i{\'c}, and F.~Quevedo, {\em Periods for {C}alabi--{Y}au and   {L}andau--{G}inzburg vacua}, Nuclear Phys. B {\bf 419} (1994), 352--403.  

 P.~Berglund and S.~Katz, {\em Mirror symmetry for hypersurfaces in weighted   projective space and topological couplings}, Nuclear Phys. B {\bf 420}   (1994), 289--314.  

 M.~Bershadsky, S.~Cecotti, H.~Ooguri, and C.~Vafa, {\em Holomorphic anomalies   in topological field theories}\/ (with an appendix by {S}.~{K}atz),   Nuclear Phys. B {\bf 405} (1993), 279--304.  

 \bysame, {\em {K}odaira--{S}pencer theory of gravity and exact results for   quantum string amplitudes}, Comm. Math. Phys. {\bf 165} (1994), 311--427.  

 F.~A. Bogomolov, {\em {H}amiltonian {K}\"ahler manifolds}, Dokl. Akad. Nauk   SSSR {\bf 243} (1978), no.~5, 1101--1104, English translation: Soviet Math.   Dokl. {\bf 19} (1978), 1462--1465.  

 R.~L. Bryant and P.~A. Griffiths, {\em Some observations on the infinitesimal   period relations for regular threefolds with trivial canonical bundle},   Arithmetic and Geometry, vol. {II}, Geometry (M.~Artin and J.~Tate, eds.),   Birkh{\"a}user, Boston, 1983, pp.~77--102.  

 P.~Candelas and X.~de~la Ossa, {\em Moduli space of {C}alabi--{Y}au manifolds},   Nuclear Phys. B {\bf 355} (1991), 455--481.  

 P.~Candelas, X.~de~la Ossa, A.~Font, S.~Katz, and D.~R. Morrison, {\em Mirror   symmetry for two parameter models {(I)}}, Nuclear Phys. B {\bf 416} (1994),   481--562.  

 P.~Candelas, X.~C. de~la Ossa, P.~S. Green, and L.~Parkes, {\em A pair of   {C}alabi--{Y}au manifolds as an exactly soluble superconformal theory},   Nuclear Phys. B {\bf 359} (1991), 21--74.  

 P.~Candelas, A.~Font, S.~Katz, and D.~R. Morrison, {\em Mirror symmetry for two   parameter models -- {II}}, Nuclear Phys. B {\bf 429} (1994), 626--674.  

 P.~Candelas, M.~Lynker, and R.~Schimmrigk, {\em {C}alabi--{Y}au manifolds in   weighted $\p_4$}, Nuclear Phys. B {\bf 341} (1990), 383--402.  

 E.~Cattani and A.~Kaplan, {\em Polarized mixed {H}odge structures and the local   monodromy of a variation of {H}odge structure}, Invent. Math. {\bf 67}   (1982), 101--115.  

 A.~Ceresole, R.~D'Auria, S.~Ferrara, W.~Lerche, J.~Louis, and T.~Regge, {\em   {P}icard--{F}uchs equations, special geometry and target space duality},   Essays on Mirror Manifolds, II, (B.~R. Greene and S.-T. Yau, eds.), to   appear.  

 P.~Deligne, {\em Equations diff\'erentielles \`a points singuliers   r\'eguliers}, Lecture Notes in Math., vol. 163, Springer-Verlag, Berlin,   Heidelberg, New York, 1970.  

 \bysame, {\em La conjecture de {W}eil, {II}}, Inst. Hautes {\'E}tudes Sci.   Publ. Math. {\bf 52} (1980), 137--252.  

 \bysame, {\em Local behavior of {H}odge structures at infinity}, Essays on   Mirror Manifolds, II, (B.~R. Greene and S.-T. Yau, eds.), to appear.  

 R.~Dijkgraaf and E.~Witten, {\em Topological gauge theories and group   cohomology}, Comm. Math. Phys. {\bf 129} (1990), 393--429.  

 L.~J. Dixon, {\em 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, New Jersey, Hong   Kong, 1988, pp.~67--126.  

 G.~Ellingsrud and S.~A.~Str\o mme, {\em The number of twisted cubic curves on   the general quintic threefold}, Math. Scand., to appear.  

 A.~Font, {\em Periods and duality symmetries in {C}alabi--{Y}au   compactifications}, Nuclear Phys. B {\bf 391} (1993), 358--388.  

 I.~M. Gel'fand, A.~V. Zelevinski\u\i\, and M.~M. Kapranov, {\em Hypergeometric   functions and toral manifolds}, Funktsional. Anal. i Prilozhen. {\bf 23}   (1989), no.~2, 12--26, English translation: Functional Anal. Appl. {\bf 23}   (1989), 94--106.  

 A.~Grassi and D.~R. Morrison, {\em Automorphisms and the {K}\"ahler cone of   certain {C}alabi--{Y}au manifolds}, Duke Math. J. {\bf 71} (1993), 831--838.  

 B.~R. Greene, D.~R. Morrison, and M.~R. Plesser, {\em Mirror manifolds in   higher dimension}, Comm. Math. Phys., to appear.  

 B.~R. Greene and M.~R. Plesser, {\em Duality in {C}alabi--{Y}au moduli space},   Nuclear Phys. B {\bf 338} (1990), 15--37.  

 M.~Gromov, {\em Pseudo holomorphic curves in symplectic manifolds}, Invent.   Math. {\bf 82} (1985), 307--347.  

 F.~Hirzebruch, {\em The ring of {H}ilbert modular forms for real quadratic   fields of small discriminant}, Modular Functions of One Variable {VI} (J.-P.   Serre and D.~B. Zagier, eds.), Lecture Notes in Math., vol. 627,   Springer-Verlag, Berlin, Heidelberg, New York, 1977, pp.~287--323.  

 S.~Hosono, A.~Klemm, S.~Theisen, and S.-T. Yau, {\em Mirror symmetry, mirror   map and applications to {C}alabi--{Y}au hypersurfaces}, Comm. Math. Phys.   {\bf 167} (1995), 301--350.  

 \bysame, {\em Mirror symmetry, mirror map and applications to complete   intersection {C}alabi--{Y}au spaces}, Nuclear Phys. B {\bf 433} (1995),   501--554.  

 Y.~Kanter, {\em Computation of {Y}ukawa couplings for {C}alabi--{Y}au   hypersurfaces in weighted projective spaces}, Phys. Lett. B {\bf 338} (1994),   204--211.  

 N.~M. Katz and T.~Oda, {\em On the differentiation of {D}e {R}ham cohomology   classes with respect to parameters}, J. Math. Kyoto Univ. {\bf 8} (1968),   199--213.  

 S.~Katz, {\em On the finiteness of rational curves on quintic threefolds},   Compositio Math. {\bf 60} (1986), 151--162.  

 \bysame, {\em Rational curves on {C}alabi--{Y}au manifolds: Verifying   predictions of mirror symmetry}, Projective Geometry with Applications   (E.~Ballico, ed.), Marcel Dekker, 1994, pp.~231--239.  

 A.~Klemm and S.~Theisen, {\em Considerations of one modulus {C}alabi--{Y}au   compactifications: {P}icard--{F}uchs equations, {K\"a}hler potentials and   mirror maps}, Nuclear Phys. B {\bf 389} (1993), 153--180.  

 \bysame, {\em Mirror maps and instanton sums for complete intersections in   weighted projective space}, Mod. Phys. Lett. A {\bf 9} (1994), 1807--1818.  

 M.~Kontsevich, {\em Enumeration of rational curves via torus actions},   Max-Planck-Institut preprint MPI/94-39, 1994.  

 M.~Kontsevich and Yu. Manin, {\em {G}romov--{W}itten classes, quantum   cohomology, and enumerative geometry}, Comm. Math. Phys. {\bf 164} (1994),   525--562.  

 A.~Landman, {\em On the {P}icard--{L}efschetz transformations}, Trans. Amer.   Math. Soc. {\bf 181} (1973), 89--126.  

 W.~Lerche, C.~Vafa, and N.~P. Warner, {\em Chiral rings in {$N{=}2$}   superconformal theories}, Nuclear Phys. B {\bf 324} (1989), 427--474.  

 A.~Libgober and J.~Teitelbaum, {\em Lines on {C}alabi--{Y}au complete   intersections, mirror symmetry, and {P}icard--{F}uchs equations}, Internat.   Math. Res. Notices (1993), 29--39.  

 Yu.~I Manin, {\em Generating functions in algebraic geometry and sums over   trees}, Max-Planck-Institut preprint, 1994.  

 D.~McDuff and D.~Salamon, {\em {$J$}-holomorphic curves and quantum   cohomology}, University Lecture Series, vol.~6, American Mathematical   Society, Providence, 1994.  

 D.~R. Morrison, {\em {P}icard--{F}uchs equations and mirror maps for   hypersurfaces}, Essays on Mirror Manifolds (S.-T. Yau, ed.), International   Press, Hong Kong, 1992, pp.~241--264.  

 \bysame, {\em Mirror symmetry and rational curves on quintic threefolds: A   guide for mathematicians}, J. Amer. Math. Soc. {\bf 6} (1993), 223--247.  

 \bysame, {\em Compactifications of moduli spaces inspired by mirror symmetry},   Journ\'ees de G\'eom\'etrie Alg\'ebrique d'Orsay (Juillet 1992),   Ast\'erisque, vol. 218, Soci\'et\'e Math\-\'ematique de France, 1993,   pp.~243--271.  

 \bysame, {\em Where is the large radius limit?}, Proceedings of Strings '93   (Berkeley), to appear.  

 \bysame, {\em Mirror symmetry and moduli spaces of superconformal field   theories}, Proc. Intern. Congr. Math. Zurich, 1994, to appear.  

 D.~R. Morrison and M.~R. Plesser, {\em Summing the instantons: Quantum   cohomology and mirror symmetry in toric varieties}, Nuclear Phys. B, to   appear.  

 Y.~Ruan and G.~Tian, {\em A mathematical theory of quantum cohomology}, Math.   Res. Lett. {\bf 1} (1994), 269--278.  

 W.~Schmid, {\em Variation of {H}odge structure: the singularities of the period   mapping}, Invent. Math. {\bf 22} (1973), 211--319.  

 G.~Tian, {\em Smoothness of the universal deformation space of compact   {C}alabi--{Y}au manifolds and its {P}eterson--{W}eil metric}, Mathematical   Aspects of String Theory (S.-T. Yau, ed.), World Scientific, Singapore, 1987,   pp.~629--646.  

 A.~N. Todorov, {\em The {W}eil--{P}etersson geometry of the moduli space of   {$SU(n{\ge}3)$} ({C}alabi--{Y}au) manifolds, {I}}, Comm. Math. Phys. {\bf   126} (1989), 325--246.  

 C.~Vafa, {\em Modular invariance and discrete torsion on orbifolds}, Nuclear   Phys. B {\bf 273} (1986), 592--606.  

 E.~Viehweg, {\em Weak positivity and the stability of certain {H}ilbert points,   {III}}, Invent. Math. {\bf 101} (1990), 521--543.  

 C.~Voisin, {\em Miroirs et involutions sur les surfaces {K3}}, Journ\'ees de   G\'eom\'etrie Alg\'ebrique d'Orsay (Juillet 1992), Ast\'erisque, vol. 218,   Soci\'et\'e Math\-\'ematique de France, 1993, pp.~273--323.  

 E.~Witten, {\em Topological sigma models}, Comm. Math. Phys. {\bf 118} (1988),   411--449.  

 \bysame, {\em On the structure of the topological phase of two dimensional   gravity}, Nuclear Phys. B {\bf 340} (1990), 281--332.  

 \bysame, {\em Mirror manifolds and topological field theory}, Essays on Mirror   Manifolds (S.-T. Yau, ed.), International Press, 1992, pp.~120--159.  

 \bysame, {\em Phases of {$N{=}2$} theories in two dimensions}, Nuclear Phys. B   {\bf 403} (1993), 159--222.