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Small exotic 4–manifolds

Anar Akhmedov

Algebraic & Geometric Topology 8 (2008) 1781–1794

DOI: 10.2140/agt.2008.8.1781

Bibliography
1 A Akhmedov, Construction of symplectic cohomology S2× S2, Gökova Geometry-Topology Proc 14 (2007) 36–48
2 G Burde, H Zieschang, Knots, de Gruyter Studies in Mathematics 5, Walter de Gruyter & Co. (1985) MR808776
3 R Fintushel, R J Stern, Rational blowdowns of smooth 4-manifolds, J. Differential Geom. 46 (1997) 181–235 MR1484044
4 R Fintushel, R J Stern, Families of simply connected 4–manifolds with the same Seiberg–Witten invariants, Topology 43 (2004) 1449–1467 MR2081432
5 R Fintushel, R J Stern, Double node neighborhoods and families of simply connected 4–manifolds with b+=1, J. Amer. Math. Soc. 19 (2006) 171–180 MR2169045
6 M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357–453 MR679066
7 R E Gompf, A new construction of symplectic manifolds, Ann. of Math. (2) 142 (1995) 527–595 MR1356781
8 M J D Hamilton, D Kotschick, Minimality and irreducibility of symplectic four-manifolds, Int. Math. Res. Not. (2006) MR2211144
9 D Kotschick, The Seiberg–Witten invariants of symplectic four-manifolds (after C H Taubes), Astérisque (1997) 195–220 MR1472540 Séminaire Bourbaki, Vol. 1995/96
10 T J Li, S T Yau, Embedded surfaces and Kodaira Dimension, preprint
11 Y Matsumoto, Lefschetz fibrations of genus two—a topological approach, from: "Topology and Teichmüller spaces (Katinkulta, 1995)", World Sci. Publ., River Edge, NJ (1996) 123–148 MR1659687
12 J D McCarthy, J G Wolfson, Symplectic normal connect sum, Topology 33 (1994) 729–764 MR1293308
13 B Ozbagci, A I Stipsicz, Noncomplex smooth 4–manifolds with genus–2 Lefschetz fibrations, Proc. Amer. Math. Soc. 128 (2000) 3125–3128 MR1670411
14 J Park, Seiberg–Witten invariants of generalised rational blow-downs, Bull. Austral. Math. Soc. 56 (1997) 363–384 MR1490654
15 J Park, Simply connected symplectic 4–manifolds with b+2=1 and c21=2, Invent. Math. 159 (2005) 657–667 MR2125736
16 J Park, Exotic smooth structures on 3CP2# 8\overlineCP\sp 2, Bull. Lond. Math. Soc. 39 (2007) 95–102 MR2303524
17 J Park, A I Stipsicz, Z Szabó, Exotic smooth structures on CP2#5\overlineCP2, Math. Res. Lett. 12 (2005) 701–712 MR2189231
18 A I Stipsicz, Z Szabó, An exotic smooth structure on CP2#6\overlineCP2, Geom. Topol. 9 (2005) 813–832 MR2140993
19 A I Stipsicz, Z Szabó, Small exotic 4–manifolds with b+2=3, Bull. London Math. Soc. 38 (2006) 501–506 MR2239045
20 C H Taubes, The Seiberg–Witten invariants and symplectic forms, Math. Res. Lett. 1 (1994) 809–822 MR1306023
21 M Usher, Minimality and symplectic sums, Int. Math. Res. Not. (2006) MR2250015
22 M Usher, Kodaira dimension and Symplectic Sums, to appear in Commentarii Mathematici Helvetici
23 E Witten, Monopoles and four-manifolds, Math. Res. Lett. 1 (1994) 769–796 MR1306021