Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Horizontal decompositions, II

Paolo Lisca and Andrea Parma

Algebraic & Geometric Topology 25 (2025) 2179–2207
Bibliography
1 D Auroux, Factorizations in SL(2, ) and simple examples of inequivalent Stein fillings, J. Symplectic Geom. 13 (2015) 261 MR3338892
2 R D Carmichael, On the numerical factors of the arithmetic forms αn ± βn, Ann. of Math. 15 (1913/14) 49 MR1502459
3 J D Evans, I Smith, Markov numbers and Lagrangian cell complexes in the complex projective plane, Geom. Topol. 22 (2018) 1143 MR3748686
4 R Fintushel, R J Stern, Rational blowdowns of smooth 4-manifolds, J. Differential Geom. 46 (1997) 181 MR1484044
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 MR2169045
6 R E Gompf, A I Stipsicz, 4-manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
7 P Hacking, Y Prokhorov, Smoothable del Pezzo surfaces with quotient singularities, Compos. Math. 146 (2010) 169 MR2581246
8 T Khodorovskiy, Symplectic rational blow-up and embeddings of rational homology balls, PhD thesis, Harvard University (2012)
9 T Khodorovskiy, Symplectic rational blow-up, preprint (2013) arXiv:1303.2581
10 T Khodorovskiy, Smooth embeddings of rational homology balls, Topology Appl. 161 (2014) 386 MR3132378
11 P Lisca, A Parma, On Stein rational balls smoothly but not symplectically embedded in ℂℙ2, Bull. Lond. Math. Soc. 54 (2022) 949 MR4453750
12 P Lisca, A Parma, Horizontal decompositions, I, Algebr. Geom. Topol. 24 (2024) 3503 MR4812224
13 P Lisca, A Parma, On almost complex embeddings of rational homology balls, from: "Frontiers in geometry and topology" (editors P M N Feehan, L L Ng, P S Ozsváth), Proc. Sympos. Pure Math. 109, Amer. Math. Soc. ([2024] ©2024) 183 MR4772952
14 B Owens, Smooth, nonsymplectic embeddings of rational balls in the complex projective plane, Q. J. Math. 71 (2020) 997 MR4142720
15 J Park, Simply connected symplectic 4-manifolds with b2+ = 1 and c12 = 2, Invent. Math. 159 (2005) 657 MR2125736
16 A Scorpan, The wild world of 4-manifolds, Amer. Math. Soc. (2005) MR2136212
17 M Symington, Symplectic rational blowdowns, J. Differential Geom. 50 (1998) 505 MR1690738