Algebraic & Geometric Topology Volume 24, issue 6 (2024)

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Horizontal decompositions, I

Paolo Lisca and Andrea Parma

Algebraic & Geometric Topology 24 (2024) 3503–3525

DOI: 10.2140/agt.2024.24.3503

Bibliography

1	D Auroux, Factorizations in SL(2, ℤ) and simple examples of inequivalent Stein fillings, J. Symplectic Geom. 13 (2015) 261 MR3338892
2	J Cerf, Sur les difféomorphismes de la sphère de dimension trois (Γ₄ = 0), 53, Springer (1968) MR229250
3	B Clark, The Heegaard genus of manifolds obtained by surgery on links and knots, Int. J. Math. Math. Sci. 3 (1980) 583 MR0582900
4	S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR0710056
5	J B Etnyre, T Fuller, Realizing 4–manifolds as achiral Lefschetz fibrations, Int. Math. Res. Not. 2006 (2006) 70272 MR2219214
6	J D Evans, I Smith, Markov numbers and Lagrangian cell complexes in the complex projective plane, Geom. Topol. 22 (2018) 1143 MR3748686
7	R Fintushel, R J Stern, Rational blowdowns of smooth 4–manifolds, J. Differential Geom. 46 (1997) 181 MR1484044
8	E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, II" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
9	R E Gompf, A I Stipsicz, 4–Manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
10	C M Gordon, A note on spun knots, Proc. Amer. Math. Soc. 58 (1976) 361 MR0413119
11	P Hacking, Y Prokhorov, Smoothable del Pezzo surfaces with quotient singularities, Compos. Math. 146 (2010) 169 MR2581246
12	J L Harer, Pencils of curves on 4–manifolds, PhD thesis, University of California, Berkeley (1979)
13	T Khodorovskiy, Symplectic rational blow-up, preprint (2013) arXiv:1303.2581
14	F Laudenbach, V Poénaru, A note on 4–dimensional handlebodies, Bull. Soc. Math. France 100 (1972) 337 MR0317343
15	Y Lekili, M Maydanskiy, The symplectic topology of some rational homology balls, Comment. Math. Helv. 89 (2014) 571 MR3260842
16	W B R Lickorish, A representation of orientable combinatorial 3–manifolds, Ann. of Math. 76 (1962) 531 MR151948
17	P Lisca, A Parma, On Stein rational balls smoothly but not symplectically embedded in ℂℙ², Bull. Lond. Math. Soc. 54 (2022) 949 MR4453750
18	P Lisca, A Parma, Horizontal decompositions, II, preprint (2023) arXiv:2302.14606
19	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., Amer. Math. Soc. (2024) 183
20	B Owens, Smooth, nonsymplectic embeddings of rational balls in the complex projective plane, Q. J. Math. 71 (2020) 997 MR4142720
21	A I Suciu, The oriented homotopy type of spun 3–manifolds, Pacific J. Math. 131 (1988) 393 MR922225
22	M Tange, Y Yamada, Four-dimensional manifolds constructed by lens space surgeries along torus knots, J. Knot Theory Ramifications 21 (2012) 1250111 MR2969640
23	C T C Wall, Non-additivity of the signature, Invent. Math. 7 (1969) 269 MR0246311