Algebraic & Geometric Topology Volume 25, issue 6 (2025)

Download this article
	For screen
	For printing

Recent 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

A note on embeddings of $3$-manifolds in symplectic $4$-manifolds

Anubhav Mukherjee

Algebraic & Geometric Topology 25 (2025) 3251–3270

DOI: 10.2140/agt.2025.25.3251

Bibliography

1	P Aceto, M Golla, K Larson, Embedding 3-manifolds in spin 4-manifolds, J. Topol. 10 (2017) 301 MR3653313
2	I Agol, F Lin, Hyperbolic four-manifolds with vanishing Seiberg–Witten invariants, from: "Characters in low-dimensional topology" (editors O Collin, S Friedl, C Gordon, S Tillmann, L Watson), Contemp. Math. 760, Amer. Math. Soc. (2020) 1 MR4193918
3	S Akbulut, An exotic 4-manifold, J. Differential Geom. 33 (1991) 357 MR1094460
4	S Akbulut, R Matveyev, A convex decomposition theorem for 4-manifolds, Internat. Math. Res. Notices (1998) 371 MR1623402
5	S Akbulut, K Yasui, Cork twisting exotic Stein 4-manifolds, J. Differential Geom. 93 (2013) 1 MR3019510
6	S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR710056
7	Y Eliashberg, Topological characterization of Stein manifolds of dimension > 2, Internat. J. Math. 1 (1990) 29 MR1044658
8	J B Etnyre, Symplectic convexity in low-dimensional topology, Topology Appl. 88 (1998) 3 MR1634561
9	J B Etnyre, K Honda, Tight contact structures with no symplectic fillings, Invent. Math. 148 (2002) 609 MR1908061
10	J B Etnyre, H Min, A Mukherjee, On 3-manifolds that are boundaries of exotic 4-manifolds, Trans. Amer. Math. Soc. 375 (2022) 4307 MR4419060
11	R Fintushel, R J Stern, A μ-invariant one homology 3-sphere that bounds an orientable rational ball, from: "Four-manifold theory" (editors C Gordon, R Kirby), Contemp. Math. 35, Amer. Math. Soc. (1984) 265 MR780582
12	M H Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 17 (1982) 357 MR679066
13	H Geiges, An introduction to contact topology, 109, Cambridge Univ. Press (2008) MR2397738
14	R E Gompf, Handlebody construction of Stein surfaces, Ann. of Math. 148 (1998) 619 MR1668563
15	R E Gompf, A I Stipsicz, 4-manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
16	M W Hirsch, On imbedding differentiable manifolds in euclidean space, Ann. of Math. 73 (1961) 566 MR124915
17	A Kaloti, B Tosun, Hyperbolic rational homology spheres not admitting fillable contact structures, Math. Res. Lett. 24 (2017) 1693 MR3762690
18	Y Li, Y Liu, Hyperbolic 3-manifolds admitting no fillable contact structures, Proc. Amer. Math. Soc. 147 (2019) 351 MR3876754
19	W B R Lickorish, A representation of orientable combinatorial 3-manifolds, Ann. of Math. 76 (1962) 531 MR151948
20	P Lisca, Symplectic fillings and positive scalar curvature, Geom. Topol. 2 (1998) 103 MR1633282
21	Y Nozaki, K Sato, M Taniguchi, Filtered instanton Floer homology and the homology cobordism group, J. Eur. Math. Soc. (JEMS) 26 (2024) 4699 MR4780492
22	B Owens, S Strle, A characterization of the ℤⁿ ⊕ ℤ(δ) lattice and definite nonunimodular intersection forms, Amer. J. Math. 134 (2012) 891 MR2956253
23	P Ozsváth, Z Szabó, Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary, Adv. Math. 173 (2003) 179 MR1957829
24	P Ozsváth, Z Szabó, Holomorphic disks and three-manifold invariants: properties and applications, Ann. of Math. 159 (2004) 1159 MR2113020
25	P Ozsváth, Z Szabó, Holomorphic triangle invariants and the topology of symplectic four-manifolds, Duke Math. J. 121 (2004) 1 MR2031164
26	P Ozsváth, Z Szabó, Holomorphic triangles and invariants for smooth four-manifolds, Adv. Math. 202 (2006) 326 MR2222356
27	D Ruberman, Seifert surfaces of knots in S⁴, Pacific J. Math. 145 (1990) 97 MR1066400
28	T Shiomi, On imbedding 3-manifolds into 4-manifolds, Osaka J. Math. 28 (1991) 649 MR1144478
29	A H Wallace, Modifications and cobounding manifolds, II, J. Math. Mech. 10 (1961) 773 MR130695
30	A Weinstein, Contact surgery and symplectic handlebodies, Hokkaido Math. J. 20 (1991) 241 MR1114405
31	H Whitney, The self-intersections of a smooth n-manifold in 2n-space, Ann. of Math. 45 (1944) 220 MR10274