Geodesic
The symplectic sum formula for Gromov–Witten invariants
Eleny-Nicoleta Ionel1 ; Thomas H. Parker2
1 Department of Mathematics, University of Wisconsin, Madison, WI 53706, United States
2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States
Annals of mathematics, Tome 159 (2004) no. 3, pp. 935-1025.

Voir la notice de l'article provenant de la source Annals of Mathematics website

In the symplectic category there is a ‘connect sum’ operation that glues symplectic manifolds by identifying neighborhoods of embedded codimension two submanifolds. This paper establishes a formula for the Gromov-Witten invariants of a symplectic sum $Z=X\# Y$ in terms of the relative GW invariants of $X$ and $Y$. Several applications to enumerative geometry are given.
DOI : 10.4007/annals.2004.159.935

Eleny-Nicoleta Ionel 1 ; Thomas H. Parker 2

1 Department of Mathematics, University of Wisconsin, Madison, WI 53706, United States
2 Department of Mathematics, Michigan State University, East Lansing, MI 48824, United States 
@article{10_4007_annals_2004_159_935,
     author = {Eleny-Nicoleta Ionel and Thomas H. Parker},
     title = {The symplectic sum formula for {Gromov{\textendash}Witten} invariants},
     journal = {Annals of mathematics},
     pages = {935--1025},
     publisher = {mathdoc},
     volume = {159},
     number = {3},
     year = {2004},
     doi = {10.4007/annals.2004.159.935},
     mrnumber = {2113018},
     zbl = {1075.53092},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.935/}
}
TY  - JOUR
AU  - Eleny-Nicoleta Ionel
AU  - Thomas H. Parker
TI  - The symplectic sum formula for Gromov–Witten invariants
JO  - Annals of mathematics
PY  - 2004
SP  - 935
EP  - 1025
VL  - 159
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.935/
DO  - 10.4007/annals.2004.159.935
LA  - en
ID  - 10_4007_annals_2004_159_935
ER  - 
%0 Journal Article
%A Eleny-Nicoleta Ionel
%A Thomas H. Parker
%T The symplectic sum formula for Gromov–Witten invariants
%J Annals of mathematics
%D 2004
%P 935-1025
%V 159
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.935/
%R 10.4007/annals.2004.159.935
%G en
%F 10_4007_annals_2004_159_935
Eleny-Nicoleta Ionel; Thomas H. Parker. The symplectic sum formula for Gromov–Witten invariants. Annals of mathematics, Tome 159 (2004) no. 3, pp. 935-1025. doi : 10.4007/annals.2004.159.935. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.935/

Cité par Sources :