@article{RSMUP_2013__130__147_0, author = {Brugall\'e, Erwan and Puignau, Nicolas}, title = {Behavior of {Welschinger} invariants under {Morse} simplifications}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {147--154}, publisher = {Seminario Matematico of the University of Padua}, volume = {130}, year = {2013}, mrnumber = {3148635}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2013__130__147_0/} }
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 SP - 147 EP - 154 VL - 130 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2013__130__147_0/ LA - en ID - RSMUP_2013__130__147_0 ER -
%0 Journal Article %A Brugallé, Erwan %A Puignau, Nicolas %T Behavior of Welschinger invariants under Morse simplifications %J Rendiconti del Seminario Matematico della Università di Padova %D 2013 %P 147-154 %V 130 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2013__130__147_0/ %G en %F RSMUP_2013__130__147_0
Brugallé, Erwan; Puignau, Nicolas. Behavior of Welschinger invariants under Morse simplifications. Rendiconti del Seminario Matematico della Università di Padova, Tome 130 (2013), pp. 147-154. http://www.numdam.org/item/RSMUP_2013__130__147_0/
[1] The formula and its generalizations: Counting rational curves on . Contemporary Math., 276 (2001), pp. 83-88. | MR
- ,[2] Recursive formulas for Welschinger invariants, Int. Math. Res. Not., No. 5 (2011), pp. 1107-1134. | MR
- - ,[3] Floor diagrams relative to a conic. Real structures on complex varieties : new results and perspectives conference, CIRM, June 2010.
,[4] Enumeration of tropical curves in tropical surfaces. Oberwolfach report Real Enumerative Questions in Complex and Tropical Geometry workshop, March 2011.
,[5] Behavior of Welschinger invariants under Morse simplifications. In preparation.
- ,[6] The symplectic sum formula for Gromov-Witten invariants. Ann. of Math. 159 (2), no. 3 (2004), pp. 935-1025. | MR
- ,[7] Welschinger invariant and enumeration of real rational curves. Int. Math. Research Notices, 49 (2003), pp. 2639-2653. | MR
- - ,[8] Logarithmic equivalence of Welschinger and Gromov-Witten invariants. Russian Math. Surveys, 59 (6) (2004), pp. 1093-1116. | MR
- - ,[9] A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces. Comment. Math. Helv., 84 (2009), pp. 87-126. | MR
- - ,[10] Welschinger invariants of real Del Pezzo surfaces of degree . arXiv:1108.3369. | MR
- - ,[11] Remarks on recursive enumeration of real rational curves on Del Pezzo surfaces. Genève-Paris-Strasbourg Tropical geometry seminar, IRMA, November 2010.
,[12] -holomorphic curves and symplectic topology. Am. Math. Soc. Coll. Publi. volume 52 (2004). | MR
- ,[13] Relative open Gromov-Witten invariants. In preparation.
- ,[14] Counting curves on rational surfaces. Manuscripta Math. 102 (2000), pp. 53-84. | MR
,[15] Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry. Invent. Math., 162 (1) (2005), pp. 195-234. | MR
,