Algebraic & Geometric Topology Volume 7, issue 3 (2007)

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Rational blow-down along Wahl type plumbing trees of spheres

Maria Michalogiorgaki

Algebraic & Geometric Topology 7 (2007) 1327–1343

DOI: 10.2140/agt.2007.7.1327

Bibliography

1	R Fintushel, R J Stern, Rational blowdowns of smooth 4–manifolds, J. Differential Geom. 46 (1997) 181 MR1484044
2	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 MR2169045
3	M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357 MR679066
4	D Gay, A Stipsicz, Symplectic rational blow-down along Seifert fibred 3–manifolds, arXiv:math.SG/0703370
5	K Kodaira, On compact analytic surfaces, from: "Analytic functions", Princeton Univ. Press (1960) 121 MR0140519
6	K Kodaira, On compact analytic surfaces II, Ann. of Math. $(2)$ 77 (1963) 563 MR0184257
7	K Kodaira, On compact analytic surfaces III, Ann. of Math. $(2)$ 78 (1963) 1 MR0184257
8	P Kronheimer, T Mrowka, Floer homology for Seiberg–Witten monopoles, in preparation (2005)
9	P Kronheimer, T Mrowka, P Ozsváth, Z Szabó, Monopoles and lens space surgeries, Ann. of Math. $(2)$ 165 (2007) 457 MR2299739
10	J W Morgan, The Seiberg–Witten equations and applications to the topology of smooth four-manifolds, Mathematical Notes 44, Princeton University Press (1996) MR1367507
11	W D Neumann, An invariant of plumbed homology spheres, from: "Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979)", Lecture Notes in Math. 788, Springer (1980) 125 MR585657
12	P Ozsváth, Z Szabó, On Park's exotic smooth four-manifolds, from: "Geometry and topology of manifolds", Fields Inst. Commun. 47, Amer. Math. Soc. (2005) 253 MR2189937
13	J Park, Simply connected symplectic 4–manifolds with $b^+_2=1$ and $c^2_1=2$, Invent. Math. 159 (2005) 657 MR2125736
14	J Park, A I Stipsicz, Z Szabó, Exotic smooth structures on $\mathbb{CP}^2\#5\overline{\mathbb{CP}}^2$, Math. Res. Lett. 12 (2005) 701 MR2189231
15	A Scorpan, The wild world of 4–manifolds, Amer. Math. Soc. (2005) MR2136212
16	A Stipsicz, Z Szabó, An exotic smooth structure on $\mathbb{CP}^2\#6\overline{\mathbb{CP}}^2$, arXiv:math.GT/0411258
17	J Wahl, Smoothings of normal surface singularities, Topology 20 (1981) 219 MR608599