Algebraic & Geometric Topology Volume 11, issue 3 (2011)

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ISSN (electronic): 1472-2739

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Pinwheels and nullhomologous surgery on $4$–manifolds with $b^+=1$

Ronald Fintushel and Ronald J Stern

Algebraic & Geometric Topology 11 (2011) 1649–1699

DOI: 10.2140/agt.2011.11.1649

Bibliography

1	A Akhmedov, R n Baykur, B D Park, Constructing infinitely many smooth structures on small $4$–manifolds, J. Topol. 1 (2008) 409 MR2399137
2	A Akhmedov, B D Park, Exotic smooth structures on small $4$–manifolds, Invent. Math. 173 (2008) 209 MR2403396
3	A Akhmedov, B D Park, Exotic smooth structures on small $4$–manifolds with odd signatures, Invent. Math. 181 (2010) 577 MR2660453
4	D Auroux, S K Donaldson, L Katzarkov, Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves, Math. Ann. 326 (2003) 185 MR1981618
5	S Baldridge, P Kirk, A symplectic manifold homeomorphic but not diffeomorphic to $\mathbb C\mathbb P^2\#3\overline\mathbb{C\mathbb P}{}^2$, Geom. Topol. 12 (2008) 919 MR2403801
6	R Fintushel, B D Park, R J Stern, Reverse engineering small $4$–manifolds, Algebr. Geom. Topol. 7 (2007) 2103 MR2366188
7	R Fintushel, R J Stern, Rational blowdowns of smooth $4$–manifolds, J. Differential Geom. 46 (1997) 181 MR1484044
8	R Fintushel, R J Stern, Knots, links, and $4$–manifolds, Invent. Math. 134 (1998) 363 MR1650308
9	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
10	R Fintushel, R J Stern, Surgery on nullhomologous tori and simply connected $4$–manifolds with $b^+=1$, J. Topol. 1 (2008) 1 MR2365649
11	D McDuff, M Symington, Associativity properties of the symplectic sum, Math. Res. Lett. 3 (1996) 591 MR1418574
12	J W Morgan, T S Mrowka, Z Szabó, Product formulas along $T^3$ for Seiberg–Witten invariants, Math. Res. Lett. 4 (1997) 915 MR1492130
13	P Orlik, F Raymond, Actions of the torus on $4$–manifolds. I, Trans. Amer. Math. Soc. 152 (1970) 531 MR0268911
14	M Symington, A new symplectic surgery: the $3$–fold sum, from: "Symplectic, contact and low-dimensional topology (Athens, GA, 1996)", Topology Appl. 88 (1998) 27 MR1634562
15	C H Taubes, More constraints on symplectic forms from Seiberg–Witten invariants, Math. Res. Lett. 2 (1995) 9 MR1312973