@incollection{AST_2012__348__265_0,
author = {Oancea, Alexandru},
title = {Invariants de {Welschinger}},
booktitle = {S\'eminaire Bourbaki Volume 2010/2011 Expos\'es 1027-1042. Avec table par noms d'auteurs de 1948/49 \`a 2009/10.},
series = {Ast\'erisque},
note = {talk:1036},
pages = {265--297},
year = {2012},
publisher = {Soci\'et\'e math\'ematique de France},
number = {348},
zbl = {1279.53081},
language = {fr},
url = {https://www.numdam.org/item/AST_2012__348__265_0/}
}
TY - CHAP AU - Oancea, Alexandru TI - Invariants de Welschinger BT - Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10. AU - Collectif T3 - Astérisque N1 - talk:1036 PY - 2012 SP - 265 EP - 297 IS - 348 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_2012__348__265_0/ LA - fr ID - AST_2012__348__265_0 ER -
%0 Book Section %A Oancea, Alexandru %T Invariants de Welschinger %B Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10. %A Collectif %S Astérisque %Z talk:1036 %D 2012 %P 265-297 %N 348 %I Société mathématique de France %U https://www.numdam.org/item/AST_2012__348__265_0/ %G fr %F AST_2012__348__265_0
Oancea, Alexandru. Invariants de Welschinger, dans Séminaire Bourbaki Volume 2010/2011 Exposés 1027-1042. Avec table par noms d'auteurs de 1948/49 à 2009/10., Astérisque, no. 348 (2012), Exposé no. 1036, 33 p.. https://www.numdam.org/item/AST_2012__348__265_0/
[1] , & - Recursive formulas for Welschinger invariants of the projective plane, Int. Math. Res. Not. 2011 (2011), p. 1107-1134. | Zbl
[2] - Nodal symplectic spheres in with positive self-intersection, Int. Math. Res. Not. 1999 (1999), p. 495-508. | Zbl | DOI
[3] - A Morse-Bott approach to contact homology, These, Stanford University, 2002. | Zbl
[4] , , , & - Compactness results in symplectic field theory, Geom. Topol. 7 (2003), p. 799-888. | Zbl | EuDML | DOI
[5] & - Enumeration of curves via floor diagrams, C. R. Math. Acad. Sci. Paris 345 (2007), p. 329-334. | Zbl | DOI
[6] & - Counting plane curves of any genus, Invent. Math. 131 (1998), p. 345-392. | Zbl | DOI
[7] - Counting real -holomorphic discs and spheres in dimension four and six, J. Korean Math. Soc. 45 (2008), p. 1427-1442. | Zbl | DOI
[8] & - Topological properties of real algebraic varieties : Rokhlin's way, Uspekhi Mat. Nauk 55 (2000), p. 129-212 (in Russian) | Zbl
& - Topological properties of real algebraic varieties : Rokhlin's way, English translation : Russian Math. Surveys 55 (2000), p. 735-814. | Zbl | DOI
[9] , & - Introduction to symplectic field theory, Geom. Fund. Anal. Special Volume, Part II (2000), p. 560-673. | Zbl
[10] - Counting pseudo-holomorphic discs in Calabi-Yau 3-fold, prepublication arXiv:0908.0148. | Zbl
[11] , , & - Lagrangian intersection Floer theory : anomaly and obstruction, AMS/IP Studies in Adv. Math., vol. 46. 1-2, AMS-International Press, 2009. | Zbl
[12] , , & , Anti-symplectic involution and Floer cohomology, prepublication arXiv:0912.2646.
[13] & - Notes on stable maps and quantum cohomology, in Algebraic geometry - Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., 1997, p. 45-96. | Zbl | DOI
[14] & - The Caporaso-Harris formula and plane relative Gromov-Witten invariants in tropical geometry, Math. Ann. 338 (2007), p. 845-868. | Zbl | DOI
[15] , & - Broccoli curves and the tropical invariance of Welschinger numbers, prépublication arXiv:1104.3118. | Zbl | DOI
[16] - Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985), p. 307-347. | Zbl | EuDML | DOI
[17] - Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three, Invent. Math. 114 (1993), p. 515-563. | Zbl | EuDML | DOI
[18] , & - Properties of pseudo-holomorphic curves in symplectizations. II. Embedding controls and algebraic invariants, Geom. Fund. Anal. 5 (1995), p. 270-328. | Zbl | EuDML | DOI
[19] , & , Properties of pseudoholomorphic curves in symplectizations. I. Asymptotics, Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), p. 337-379. | Zbl | EuDML | Numdam | DOI
[20] , & , Properties of pseudoholomorphic curves in symplectizations. III. Fredholm theory, in Topics in nonlinear analysis, Progr. Nonlinear Differential Equations Appl, vol. 35, Birkhäuser, 1999, p. 381-475. | Zbl | DOI
[21] , & , A general Fredholm theory. II. Implicit function theorems, Geom. Funct. Anal. 19 (2009), p. 206-293. | Zbl | DOI
[22] & - The symplectic sum formula for Gromov-Witten invariants, Ann. of Math. 159 (2004), p. 935-1025. | Zbl | DOI
[23] - Amibes de variétés algébriques et dénombrement de courbes (d'après G. Mikhalkin), Séminaire Bourbaki, vol. 2002/03, exp. n° 921, Astérisque 294 (2004), p. 335-361. | Zbl | EuDML | Numdam
[24] , & - Welschinger invariant and enumeration of real rational curves, Int. Math. Res. Not. 2003 (2003), p. 2639-2653. | Zbl | DOI
[25] , & , Logarithmic equivalence of the Welschinger and the Gromov-Witten invariants, Uspekhi Mat. Nauk 59 (2004), p. 85-110 (in Russian) | Zbl
, & , Logarithmic equivalence of the Welschinger and the Gromov-Witten invariants ; English translation : Russian Math. Surveys 59 (2004), 1093-1116. | Zbl | DOI
[26] , & , A Caporaso-Harris type formula for Welschinger invariants of real toric del Pezzo surfaces, Comment. Math. Helv. 84 (2009), p. 87-126. | Zbl | DOI
[27] , & - Tropical algebraic geometry, second ed., Oberwolfach Seminars, vol. 35, Birkhäuser, 2009. | Zbl
[28] & - Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls, Invent. Math. 136 (1999), p. 571-602. | Zbl | DOI
[29] - Variétés de Fano réelles (d'après C. Viterbo), Séminaire Bourbaki, vol. 1999/2000, exp. n° 872, Astérisque 276 (2002), p. 189-206. | Zbl | EuDML | Numdam
[30] & - Pin structures on low-dimensional manifolds, in Geometry of low-dimensional manifolds, 2 (Durham, 1989), London Math. Soc. Lecture Note Ser., vol. 151, Cambridge Univ. Press, 1990, p. 177-242. | Zbl
[31] - Differential geometry of complex vector bundles, Publications of the Mathematical Society of Japan, vol. 15, Princeton Univ. Press, 1987. | MR | Zbl
[32] - Homological algebra of mirror symmetry, in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zurich, 1994), Birkhäuser, 1995, p. 120-139. | MR | Zbl | DOI
[33] & - Gromov-Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994), p. 525-562. | MR | Zbl | DOI
[34] & - Do uniruled six-manifolds contain Sol Lagrangian submanifolds ?, prépublication arXiv:1001.2927. | MR | Zbl | DOI
[35] & - -holomorphic curves and symplectic topology, American Mathematical Society Colloquium Publications, vol. 52, Amer. Math. Soc, 2004. | MR | Zbl
[36] - Enumerative tropical algebraic geometry in , J. Amer. Math. Soc. 18 (2005), p. 313-377. | MR | Zbl | DOI
[37] & - Characteristic classes, Annals of Math. Studies, vol. 76, Princeton Univ. Press, 1974. | MR | Zbl
[38] , & - Disk enumeration on the quintic 3-fold, J. Amer. Math. Soc. 21 (2008), p. 1169-1209. | MR | Zbl | DOI
[39] , & - The number of conics tangent to five given conics : the real case, Rev. Mat. Univ. Complut. Madrid 10 (1997), p. 391-421. | MR | Zbl | EuDML
[40] & - A mathematical theory of quantum cohomology, J. Differential Geom. 42 (1995), p. 259-367. | MR | Zbl | DOI
[41] - Pseudoholomorphic curves and the symplectic isotopy problem, Habilitationsschrift, Universität Bochum-Ruhr, 2000, arXiv:math/0010262.
[42] - A tropical calculation of the Welschinger invariants of real toric del Pezzo surfaces, J. Algebraic Geom. 15 (2006), p. 285-322. | MR | Zbl | DOI
[43] - Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions, Thèse, Massachusetts Institute of Technology, 2006, arXiv:math/0606429. | MR
[44] - Enumerative real algebraic geometry, in Algorithmic and quantitative real algebraic geometry (Piscataway, NJ, 2001), DIMACS Ser. Discrete Math. Theoret. Comput. Ser., vol. 60, Amer. Math. Soc, 2003, p. 139-179. | MR | Zbl | DOI
[45] - A new obstruction to embedding Lagrangian tori, Invent. Math. 100 (1990), p. 301-320. | MR | Zbl | EuDML | DOI
[46] , Symplectic real algebraic geometry, 1999.
[47] - Symplectic manifolds and their Lagrangian submanifolds, Advances in Math. 6 (1971), p. 329-346. | MR | Zbl | DOI
[48] - Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry, C. R. Math. Acad. Sci. Paris 336 (2003), p. 341-344. | MR | Zbl | DOI
[49] , Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry, Invent. Math. 162 (2005), p. 195-234. | MR | Zbl | DOI
[50] , Spinor states of real rational curves in real algebraic convex 3-manifolds and enumerative invariants, Duke Math. J. 127 (2005), p. 89-121. | MR | Zbl | DOI
[51] , Invariants of real symplectic four-manifolds out of reducible and cuspidal curves, Bull. Soc. Math. France 134 (2006), p. 287-325. | MR | Zbl | EuDML | Numdam | DOI
[52] , Towards relative invariants of real symplectic four-manifolds, Geom. Fund. Anal. 16 (2006), p. 1157-1182. | MR | Zbl | DOI
[53] , Invariant count of holomorphic disks in the cotangent bundles of the two-sphere and real projective plane, C. R. Math. Acad. Sci. Paris 344 (2007), p. 313-316. | MR | Zbl | DOI
[54] , Invariants entiers en géométrie enumerative réelle, in Proceedings of the International Congress of Mathematicians. Volume II, Hindustan Book Agency, 2010, p. 652-678. | MR | Zbl
[55] , Enumerative invariants of strongly semipositive real symplectic six-manifolds, prépublication arXiv: math/0509121.
[56] , Open Gromov-Witten invariants in dimension four, prépublication arXiv:1110.2705. | MR | Zbl | DOI
[57] , Open Gromov-Witten invariants in dimension six, prépublication arXiv:1201.3518. | MR | Zbl | DOI
[58] , Open strings, Lagrangian conductors and Floer functor, prépublication arXiv:0812.0276.
[59] , Optimalité, congruences et calculs d'invariants des variétés symplectiques réelles de dimension quatre, prépublication arXiv:0707.4317.







