Behavior of Welschinger invariants under Morse simplifications

Erwan Brugallé; Nicolas Puignau

Rendiconti del Seminario Matematico della Università di Padova (2013)

  • Volume: 130, page 147-154
  • ISSN: 0041-8994

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Brugallé, Erwan, and Puignau, Nicolas. "Behavior of Welschinger invariants under Morse simplifications." Rendiconti del Seminario Matematico della Università di Padova 130 (2013): 147-154. <http://eudml.org/doc/275132>.

@article{Brugallé2013,
author = {Brugallé, Erwan, Puignau, Nicolas},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {real enumerative geometry; Welschinger invariants; Gromov-Witten invariants; symplectic sum formula},
language = {eng},
pages = {147-154},
publisher = {Seminario Matematico of the University of Padua},
title = {Behavior of Welschinger invariants under Morse simplifications},
url = {http://eudml.org/doc/275132},
volume = {130},
year = {2013},
}

TY - JOUR
AU - Brugallé, Erwan
AU - Puignau, Nicolas
TI - Behavior of Welschinger invariants under Morse simplifications
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2013
PB - Seminario Matematico of the University of Padua
VL - 130
SP - 147
EP - 154
LA - eng
KW - real enumerative geometry; Welschinger invariants; Gromov-Witten invariants; symplectic sum formula
UR - http://eudml.org/doc/275132
ER -

References

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  2. [2] A. Arroyo - E. Brugallé - L. Lopez de Medrano, Recursive formulas for Welschinger invariants, Int. Math. Res. Not., No. 5 (2011), pp. 1107–1134. Zbl1227.14047MR2775877
  3. [3] E. Brugallé, Floor diagrams relative to a conic. ㆓Real structures on complex varieties : new results and perspectives㆔ conference, CIRM, June 2010. 
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  5. [5] E. Brugallé - N. Puignau, Behavior of Welschinger invariants under Morse simplifications. In preparation. Zbl1292.14034
  6. [6] E.-N. Ionel - T. H. Parker, The symplectic sum formula for Gromov-Witten invariants. Ann. of Math. 159 (2), no. 3 (2004), pp. 935–1025. Zbl1075.53092MR2113018
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  8. [8] I. Itenberg - V. Kharlamov - E. Shustin, Logarithmic equivalence of Welschinger and Gromov-Witten invariants. Russian Math. Surveys, 59 (6) (2004), pp. 1093–1116. Zbl1086.14047MR2138469
  9. [9] I. Itenberg - V. Kharlamov - E. Shustin, A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces. Comment. Math. Helv., 84 (2009), pp. 87–126. Zbl1184.14092MR2466076
  10. [10] I. Itenberg - V. Kharlamov - E. Shustin, Welschinger invariants of real Del Pezzo surfaces of degree 3 . arXiv:1108.3369. Zbl1308.14058MR3020146
  11. [11] V. Kharlamov, Remarks on recursive enumeration of real rational curves on Del Pezzo surfaces. ㆓Genève-Paris-Strasbourg Tropical geometry㆔ seminar, IRMA, November 2010. 
  12. [12] D. McDuff - D. Salamon, J -holomorphic curves and symplectic topology. Am. Math. Soc. Coll. Publi. volume 52 (2004). MR2045629
  13. [13] R. Rasdeaconu - J. Solomon, Relative open Gromov-Witten invariants. In preparation. 
  14. [14] R. Vakil, Counting curves on rational surfaces. Manuscripta Math.102 (2000), pp. 53–84. Zbl0967.14036MR1771228
  15. [15] J.-Y. Welschinger, Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry. Invent. Math., 162 (1) (2005), pp. 195–234. Zbl1082.14052MR2198329

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