Geodesic
Generalized symplectic rational blowdowns
Symington, Margaret1
1School of Mathematics, Georgia Institute of Technology, Atlanta GA 30332, USA
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 503-518
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

Voir la notice de l'article

We prove that the generalized rational blowdown, a surgery on smooth 4–manifolds, can be performed in the symplectic category.

DOI : 10.2140/agt.2001.1.503
Keywords: symplectic surgery, blowdown

Symington, Margaret  1

1 School of Mathematics, Georgia Institute of Technology, Atlanta GA 30332, USA 
@article{10_2140_agt_2001_1_503,
     author = {Symington, Margaret},
     title = {Generalized symplectic rational blowdowns},
     journal = {Algebraic and Geometric Topology},
     pages = {503--518},
     year = {2001},
     volume = {1},
     number = {1},
     doi = {10.2140/agt.2001.1.503},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2001.1.503/}
}
TY  - JOUR
AU  - Symington, Margaret
TI  - Generalized symplectic rational blowdowns
JO  - Algebraic and Geometric Topology
PY  - 2001
SP  - 503
EP  - 518
VL  - 1
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2001.1.503/
DO  - 10.2140/agt.2001.1.503
ID  - 10_2140_agt_2001_1_503
ER  - 
%0 Journal Article
%A Symington, Margaret
%T Generalized symplectic rational blowdowns
%J Algebraic and Geometric Topology
%D 2001
%P 503-518
%V 1
%N 1
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2001.1.503/
%R 10.2140/agt.2001.1.503
%F 10_2140_agt_2001_1_503
Symington, Margaret. Generalized symplectic rational blowdowns. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 503-518. doi: 10.2140/agt.2001.1.503

[1] M Audin, The topology of torus actions on symplectic manifolds, Progress in Mathematics 93, Birkhäuser Verlag (1991) 181

[2] M Boucetta, P Molino, Géométrie globale des systèmes hamiltoniens complètement intégrables: fibrations lagrangiennes singulières et coordonnées action-angle à singularités, C. R. Acad. Sci. Paris Sér. I Math. 308 (1989) 421

[3] A J Casson, J L Harer, Some homology lens spaces which bound rational homology balls, Pacific J. Math. 96 (1981) 23

[4] J J Duistermaat, On global action-angle coordinates, Comm. Pure Appl. Math. 33 (1980) 687

[5] J B Etnyre, Symplectic convexity in low-dimensional topology, Topology Appl. 88 (1998) 3

[6] R Fintushel, R J Stern, Rational blowdowns of smooth 4–manifolds, J. Differential Geom. 46 (1997) 181

[7] R E Gompf, T S Mrowka, Irreducible 4–manifolds need not be complex, Ann. of Math. $(2)$ 138 (1993) 61

[8] E Lerman, Contact cuts, Israel J. Math. 124 (2001) 77

[9] A Mcray, Darboux theorems for pairs of submanifolds, PhD thesis, SUNY Stony Brook (1994)

[10] J Park, Seiberg–Witten invariants of generalised rational blow-downs, Bull. Austral. Math. Soc. 56 (1997) 363

[11] S Vũ Ngọc, On semi-global invariants for focus-focus singularities, Topology 42 (2003) 365

[12] M Symington, Symplectic rational blowdowns, J. Differential Geom. 50 (1998) 505

[13] T Z Nguyen, Symplectic topology of integrable Hamiltonian systems II: Topological classification, Compositio Math. 138 (2003) 125

[14] T Z Nguyen, A note on focus-focus singularities, Differential Geom. Appl. 7 (1997) 123

Cité par Sources :