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Volumn 163, Issue 2, 2006, Pages 517-560

Gromov-Witten theory, Hurwitz theory, and completed cycles

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EID: 33746039747     PISSN: 0003486X     EISSN: 0003486X     Source Type: Journal    
DOI: 10.4007/annals.2006.163.517     Document Type: Article
Times cited : (362)

References (43)
  • 1
    • 0002773564 scopus 로고    scopus 로고
    • The character of the infinite wedge representation
    • S. BLOCK and A. OKOUNKOV, The character of the infinite wedge representation, Adv. Math. 149 (2000), 1-60.
    • (2000) Adv. Math. , vol.149 , pp. 1-60
    • Block, S.1    Okounkov, A.2
  • 4
    • 0002883462 scopus 로고
    • Mirror symmetry and elliptic curves
    • The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.) (Texel Island), Birkhäuser Boston, MA
    • R. DIJKGRAAF, Mirror symmetry and elliptic curves, in The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.) (Texel Island, 1994), 149-163, Progr. Math. 129, Birkhäuser Boston, MA, 1995.
    • (1994) Progr. Math. , vol.129 , pp. 149-163
    • Dijkgraaf, R.1
  • 5
    • 0000644797 scopus 로고
    • Geometry of 2D topological field theories
    • Integrable Systems and Quantum Groups (Montecatini Terme), Springer-Verlag, New York
    • B. DUBROVIN, Geometry of 2D topological field theories, in Integrable Systems and Quantum Groups (Montecatini Terme, 1993), 120-348, Lecture Notes in Math. 162, Springer-Verlag, New York, 1996.
    • (1993) Lecture Notes in Math. , vol.162 , pp. 120-348
    • Dubrovin, B.1
  • 6
    • 0009432938 scopus 로고
    • Topological σ models and large-N matrix integral
    • T. EGUCHI, K. HORI, and S.-K. YANG, Topological σ models and large-N matrix integral, Internat. J. Modern Phys. A 10 (1995), 4203-4224.
    • (1995) Internat. J. Modern Phys. A , vol.10 , pp. 4203-4224
    • Eguchi, T.1    Hori, K.2    Yang, S.-K.3
  • 7
    • 0041760335 scopus 로고    scopus 로고
    • Quantum cohomology and Virasoro algebra
    • T. EGUCHI, K. HORI, and C.-S. XIONG, Quantum cohomology and Virasoro algebra, Phys. Lett. B402 (1997), 71-80.
    • (1997) Phys. Lett. , vol.B402 , pp. 71-80
    • Eguchi, T.1    Hori, K.2    Xiong, C.-S.3
  • 9
    • 0012280927 scopus 로고    scopus 로고
    • Introduction to symplectic field theory
    • GAFA 2000 (Tel Aviv)
    • Y. ELIASHBERG, A. GIVENTAL, and H. HOFER, Introduction to symplectic field theory, GAFA 2000 (Tel Aviv, 1999), Geom. Funct. Anal. 2000, Special Volume, Part II, 560-673.
    • (1999) Geom. Funct. Anal. , vol.2000 SPECIAL VOLUME , Issue.PART II , pp. 560-673
    • Eliashberg, Y.1    Givental, A.2    Hofer, H.3
  • 10
    • 0035623890 scopus 로고    scopus 로고
    • Hurwitz numbers and intersections on moduli spaces of curves
    • T. EKEDAHL, S. LANDO, M. SHAPIRO, and A. VAINSHTEIN, Hurwitz numbers and intersections on moduli spaces of curves, Invent. Math. 146 (2001), 297-327.
    • (2001) Invent. Math. , vol.146 , pp. 297-327
    • Ekedahl, T.1    Lando, S.2    Shapiro, M.3    Vainshtein, A.4
  • 11
    • 0035621503 scopus 로고    scopus 로고
    • Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials
    • A. ESKIN and A. OKOUNKOV, Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials, Invent. Math. 145 (2001), 59-103.
    • (2001) Invent. Math. , vol.145 , pp. 59-103
    • Eskin, A.1    Okounkov, A.2
  • 12
    • 33746101313 scopus 로고    scopus 로고
    • A. ESKIN, A. OKOUNKOV, and A. ZORICH, in preparation
    • A. ESKIN, A. OKOUNKOV, and A. ZORICH, in preparation.
  • 13
    • 0034364921 scopus 로고    scopus 로고
    • Hodge integrals and Gromov-Witten theory
    • C. FABER and R. PANDHARIPANDE, Hodge integrals and Gromov-Witten theory, Invent. Math. 139 (2000), 173-199.
    • (2000) Invent. Math. , vol.139 , pp. 173-199
    • Faber, C.1    Pandharipande, R.2
  • 16
    • 0041997524 scopus 로고    scopus 로고
    • The Toda conjecture
    • (Seoul), World Sci. Publishing, River Edge, NJ
    • E. GETZLER, The Toda conjecture, in Symplectic Geometry and Mirror Symmetry (Seoul, 2000), 51-79, World Sci. Publishing, River Edge, NJ (2001).
    • (2000) Symplectic Geometry and Mirror Symmetry , pp. 51-79
    • Getzler, E.1
  • 17
    • 0002105483 scopus 로고
    • Über die anzahl der riemann'schen flächen mit gegebenen Verzweigungspunkten
    • A. HURWITZ, Über die Anzahl der Riemann'schen Flächen mit gegebenen Verzweigungspunkten, Math. Ann. 55 (1902), 53-66.
    • (1902) Math. Ann. , vol.55 , pp. 53-66
    • Hurwitz, A.1
  • 18
    • 0037224797 scopus 로고    scopus 로고
    • Relative Gromov-Witten invariants
    • E. IONEL and T. PARKER, Relative Gromov-Witten invariants, Ann. of Math. 157 (2003), 45-96.
    • (2003) Ann. of Math. , vol.157 , pp. 45-96
    • Ionel, E.1    Parker, T.2
  • 19
    • 0011632392 scopus 로고
    • Characters and surfaces: A survey
    • The Atlas of Finite Groups: Ten Years On (Birmingham), Cambridge Univ. Press, Cambridge
    • G. JONES, Characters and surfaces: a survey, in The Atlas of Finite Groups: Ten Years On (Birmingham, 1995), 90-118, London Math. Soc. Lecture Note Ser. 249, Cambridge Univ. Press, Cambridge, 1998.
    • (1995) London Math. Soc. Lecture Note Ser. , vol.249 , pp. 90-118
    • Jones, G.1
  • 21
    • 18844422980 scopus 로고
    • Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
    • V. KAC and A. RADUL, Quasifinite highest weight modules over the Lie algebra of differential operators on the circle, Comm. Math. Phys. 157 (1993), 429-457.
    • (1993) Comm. Math. Phys. , vol.157 , pp. 429-457
    • Kac, V.1    Radul, A.2
  • 22
    • 0010883610 scopus 로고
    • A generalized Jacobi theta function and quasimodular forms
    • The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.), Birkhäuser Boston, MA
    • M. KANEKO and D. ZAGIER, A generalized Jacobi theta function and quasimodular forms, in The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.), 165-172, Progr. Math. 129, Birkhäuser Boston, MA, 1995.
    • (1995) Progr. Math. , vol.129 , pp. 165-172
    • Kaneko, M.1    Zagier, D.2
  • 26
    • 0035632912 scopus 로고    scopus 로고
    • Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds
    • A.-M. LI and Y. RUAN, Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds, Invent. Math. 145 (2001), 151-218.
    • (2001) Invent. Math. , vol.145 , pp. 151-218
    • Li, A.-M.1    Ruan, Y.2
  • 27
    • 3042623346 scopus 로고    scopus 로고
    • A degeneration formula of GW-invariants
    • J. LI, A degeneration formula of GW-invariants, J. Differential Geom. 60 (2002), 199-293.
    • (2002) J. Differential Geom. , vol.60 , pp. 199-293
    • Li, J.1
  • 30
    • 0003377901 scopus 로고    scopus 로고
    • Infinite wedge and random partitions
    • A. OKOUNKOV, Infinite wedge and random partitions, Selecta Math. 7 (2001), 57-81.
    • (2001) Selecta Math. , vol.7 , pp. 57-81
    • Okounkov, A.1
  • 31
    • 0034348691 scopus 로고    scopus 로고
    • Toda equations for Hurwitz numbers
    • _, Toda equations for Hurwitz numbers, Math. Res. Letters, 7 (2000), 447-453.
    • (2000) Math. Res. Letters , vol.7 , pp. 447-453
  • 33
    • 0000338772 scopus 로고    scopus 로고
    • translation
    • translation in St. Petersburg Math. J. 9 (1998), 239-300.
    • (1998) St. Petersburg Math. J. , vol.9 , pp. 239-300
  • 35
    • 11144266522 scopus 로고    scopus 로고
    • Frobenius-Schur functions (with an appendix by V. Ivanov)
    • Studies in Memory of Issai Schur (Chevaleret/Rehovot), Birkhäuser Boston, MA
    • G. OLSHANSKI, A. REGEV, and A. VERSHIK, Frobenius-Schur functions (with an appendix by V. Ivanov), Progr. Math. 210, Studies in Memory of Issai Schur (Chevaleret/Rehovot, 2000), 251-299, Birkhäuser Boston, MA, 2003.
    • (2000) Progr. Math. , vol.210 , pp. 251-299
    • Olshanski, G.1    Regev, A.2    Vershik, A.3
  • 36
    • 0041081149 scopus 로고    scopus 로고
    • The Toda equations and the Gromov-Witten theory of the Riemann sphere
    • R. PANDHARIPANDE, The Toda equations and the Gromov-Witten theory of the Riemann sphere, Lett. Math. Phys. 53 (2000), 59-74.
    • (2000) Lett. Math. Phys. , vol.53 , pp. 59-74
    • Pandharipande, R.1
  • 38
    • 0003218626 scopus 로고    scopus 로고
    • Minimal transitive products of transpositions - The reconstruction of a proof of A. Hurwitz
    • Article S37c. (electronic)
    • V. STREHL, Minimal transitive products of transpositions - the reconstruction of a proof of A. Hurwitz, Sém. Lothar. Combin. 37 (1996), Article S37c, 12 pp. (electronic).
    • (1996) Sém. Lothar. Combin. , vol.37
    • Strehl, V.1
  • 39
    • 0040650400 scopus 로고
    • Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. I
    • T. TAKEBE, Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. I, Lett. Math. Phys. 21 (1991), 77-84;
    • (1991) Lett. Math. Phys. , vol.21 , pp. 77-84
    • Takebe, T.1
  • 40
    • 85007994930 scopus 로고
    • Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. II
    • T. TAKEBE, Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy. II, Publ. Res. Inst. Math. Sci. 27 (1991), 491-503.
    • (1991) Publ. Res. Inst. Math. Sci. , vol.27 , pp. 491-503
    • Takebe, T.1
  • 41
    • 0002596374 scopus 로고
    • Toda lattice hierarchy
    • Group Representations and Systems of Differential Equations (Tokyo), North-Holland, Amsterdam
    • K. Ueno and K. Takasaki, Toda lattice hierarchy, in Group Representations and Systems of Differential Equations (Tokyo, 1982), 1-95, Adv. Stud. Pure Math. 4, North-Holland, Amsterdam, 1984.
    • (1982) Adv. Stud. Pure Math. , vol.4 , pp. 1-95
    • Ueno, K.1    Takasaki, K.2
  • 42
    • 34250241244 scopus 로고
    • Asymptotic theory of the characters of a symmetric group
    • A. Vershik and S. Kerov, Asymptotic theory of the characters of a symmetric group, Fund. Anal. Appl. 15 (1981), 246-255.
    • (1981) Fund. Anal. Appl. , vol.15 , pp. 246-255
    • Vershik, A.1    Kerov, S.2
  • 43
    • 0346532050 scopus 로고    scopus 로고
    • 1 topological sigma model and the Toda lattice hierarchy
    • 1 topological sigma model and the Toda lattice hierarchy, J. Geom. Phys. 40 (2002), 215-232.
    • (2002) J. Geom. Phys. , vol.40 , pp. 215-232
    • Zhang, Y.1


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