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Volumn 162, Issue 1, 2005, Pages 195-234

Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

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EID: 24944566798     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00222-005-0445-0     Document Type: Article
Times cited : (160)

References (19)
  • 1
    • 0003303731 scopus 로고
    • Holomorphic curves in symplectic geometry
    • Basel: Birkhäuser Verlag
    • Audin, M., Lafontaine, J. (eds.): Holomorphic curves in symplectic geometry. Progress in Mathematics, vol. 117. Basel: Birkhäuser Verlag 1994
    • (1994) Progress in Mathematics , vol.117
    • Audin, M.1    Lafontaine, J.2
  • 2
    • 0034557995 scopus 로고    scopus 로고
    • Topological properties of real algebraic varieties: Rokhlin's way
    • Degtyarev, A.I., Kharlamov, V.M.: Topological properties of real algebraic varieties: Rokhlin's way. Russ. Math. Surv. 55, 735-814 (2000)
    • (2000) Russ. Math. Surv. , vol.55 , pp. 735-814
    • Degtyarev, A.I.1    Kharlamov, V.M.2
  • 3
    • 0040804374 scopus 로고
    • Pseudoholomorphic curves in symplectic manifolds
    • Gromov, M.: Pseudoholomorphic curves in symplectic manifolds. Invent. Math. 82, 307-347(1985)
    • (1985) Invent. Math. , vol.82 , pp. 307-347
    • Gromov, M.1
  • 4
    • 0000119480 scopus 로고    scopus 로고
    • On genericity for holomorphic curves in four-dimensional almost-complex manifolds
    • Hofer, H., Lizan, V., Sikorav, J.-C.: On genericity for holomorphic curves in four-dimensional almost-complex manifolds. J. Geom. Anal. 7, 149-159 (1997)
    • (1997) J. Geom. Anal. , vol.7 , pp. 149-159
    • Hofer, H.1    Lizan, V.2    Sikorav, J.-C.3
  • 5
    • 0242542433 scopus 로고    scopus 로고
    • Welschinger invariant and enumeration of real rational curves
    • Itenberg, I., Kharlamov, V, Shustin, E.: Welschinger invariant and enumeration of real rational curves. Int. Math. Res. Not. 49, 2639-2653 (2003)
    • (2003) Int. Math. Res. Not. , vol.49 , pp. 2639-2653
    • Itenberg, I.1    Kharlamov, V.2    Shustin, E.3
  • 6
    • 24944580998 scopus 로고    scopus 로고
    • Logarithmic equivalence of Welschinger and Gromov-witten invariants
    • Itenberg, I., Kharlamov, V., Shustin, E.: Logarithmic equivalence of Welschinger and Gromov-Witten invariants. Usp. Mat. Nauk 59, 85-110 (2004)
    • (2004) Usp. Mat. Nauk , vol.59 , pp. 85-110
    • Itenberg, I.1    Kharlamov, V.2    Shustin, E.3
  • 7
    • 0033243366 scopus 로고    scopus 로고
    • Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls
    • Ivashkovich, S., Shevchishin, V.: Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls. Invent. Math. 136, 571-602 (1999)
    • (1999) Invent. Math. , vol.136 , pp. 571-602
    • Ivashkovich, S.1    Shevchishin, V.2
  • 8
    • 34249763252 scopus 로고
    • Gromov-witten classes, quantum cohomology, and enumerative geometry
    • Kontsevich, M., Manin, Y: Gromov-Witten classes, quantum cohomology, and enumerative geometry. Commun. Math. Phys. 164, 525-562 (1994)
    • (1994) Commun. Math. Phys. , vol.164 , pp. 525-562
    • Kontsevich, M.1    Manin, Y.2
  • 9
    • 21244438877 scopus 로고    scopus 로고
    • J-holomorphic curves and symplectic topology
    • American Mathematical Society Colloquium Publications,. Providence, RI
    • McDuff, D., Salamon, D.: J-holomorphic curves and symplectic topology. American Mathematical Society Colloquium Publications, vol. 52. Providence, RI: Am. Math. Soc. 2004
    • (2004) Am. Math. Soc. , vol.52
    • McDuff, D.1    Salamon, D.2
  • 10
    • 0038783163 scopus 로고    scopus 로고
    • Counting curves via lattice paths in polygons
    • Mikhalkin, G.: Counting curves via lattice paths in polygons. C. R. Math. Acad. Sci., Paris 336, 629-634 (2003)
    • (2003) C. R. Math. Acad. Sci., Paris , vol.336 , pp. 629-634
    • Mikhalkin, G.1
  • 11
    • 0029682448 scopus 로고
    • A mathematical theory of quantum cohomology
    • Ruan, Y, Tian, G.: A mathematical theory of quantum cohomology. J. Differ. Geom. 42,259-367(1995)
    • (1995) J. Differ. Geom. , vol.42 , pp. 259-367
    • Ruan, Y.1    Tian, G.2
  • 14
    • 4344669392 scopus 로고    scopus 로고
    • The gluing construction for normally generic 7-holomorphic curves
    • Symplectic and contact topology: interactions and perspectives (Toronto, ON/Montreal, QC, 2001). Providence, RI: Am. Math. Soc.
    • Sikorav, J.-C.: The gluing construction for normally generic 7-holomorphic curves. In: Symplectic and contact topology: interactions and perspectives (Toronto, ON/Montreal, QC, 2001). Fields Inst. Commun., vol. 35, pp. 175-199. Providence, RI: Am. Math. Soc. 2003
    • (2003) Fields Inst. Commun. , vol.35 , pp. 175-199
    • Sikorav, J.-C.1
  • 15
    • 0001146482 scopus 로고
    • An infinite dimensional version of Sard's theorem
    • Smale, S.: An infinite dimensional version of Sard's theorem. Am. J. Math. 87,861-866 (1965)
    • (1965) Am. J. Math. , vol.87 , pp. 861-866
    • Smale, S.1
  • 16
    • 17244371128 scopus 로고    scopus 로고
    • Enumerative real algebraic geometry
    • Algorithmic and quantitative real algebraic geometry (Piscataway, NJ, 2001). Providence, RI: Am. Math. Soc.
    • Sottile, E: Enumerative real algebraic geometry. In: Algorithmic and quantitative real algebraic geometry (Piscataway, NJ, 2001). DIMACS Ser. Discrete Math. Theoret. Comput. Sci., vol. 60, pp. 139-179. Providence, RI: Am. Math. Soc. 2003
    • (2003) DIMACS Ser. Discrete Math. Theoret. Comput. Sci. , vol.60 , pp. 139-179
    • Sottile, E.1
  • 17
    • 0037768590 scopus 로고    scopus 로고
    • Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry
    • Welschinger, J.-Y: Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry. C. R. Acad. Sci. Paris Sér. I Math. 336, 341-344 (2003)
    • (2003) C. R. Acad. Sci. Paris Sér. I Math. , vol.336 , pp. 341-344
    • Welschinger, J.-Y.1
  • 18
    • 17244366838 scopus 로고    scopus 로고
    • Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants
    • Welschinger, J.-Y: Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants. Duke Math. J. 127, 89-121 (2005)
    • (2005) Duke Math. J. , vol.127 , pp. 89-121
    • Welschinger, J.-Y.1
  • 19
    • 0000910190 scopus 로고
    • Two-dimensional gravity and intersection theory on moduli space
    • (Cambridge, MA, 1990). Bethlehem, PA: Lehigh Univ.
    • Witten, E.: Two-dimensional gravity and intersection theory on moduli space. In: Surveys in differential geometry (Cambridge, MA, 1990), pp. 243-310. Bethlehem, PA: Lehigh Univ. 1991
    • (1991) Surveys in Differential Geometry , pp. 243-310
    • Witten, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.