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$3$–Manifolds without any embedding in symplectic $4$–manifolds

Aliakbar Daemi, Tye Lidman and Mike Miller Eismeier

Geometry & Topology 28 (2024) 3357–3372
Bibliography
1 D M Austin, Equivariant Floer groups for binary polyhedral spaces, Math. Ann. 302 (1995) 295 MR1336338
2 L Culler, A Daemi, Y Xie, Surgery, polygons and SU(N)–Floer homology, J. Topol. 13 (2020) 576 MR4092776
3 A Daemi, Chern–Simons functional and the homology cobordism group, Duke Math. J. 169 (2020) 2827 MR4158669
4 A Daemi, M Miller Eismeier, Instantons and rational homology spheres, preprint (2022) arXiv:2210.14071
5 M I Doig, Finite knot surgeries and Heegaard Floer homology, Algebr. Geom. Topol. 15 (2015) 667 MR3342672
6 S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR0710056
7 S K Donaldson, The orientation of Yang–Mills moduli spaces and 4–manifold topology, J. Differential Geom. 26 (1987) 397 MR0910015
8 S K Donaldson, Floer homology groups in Yang–Mills theory, 147, Cambridge Univ. Press (2002) MR1883043
9 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
10 R Fintushel, R J Stern, Pseudofree orbifolds, Ann. of Math. 122 (1985) 335 MR0808222
11 R Fintushel, R J Stern, Instanton homology of Seifert fibred homology three spheres, Proc. Lond. Math. Soc. 61 (1990) 109 MR1051101
12 K A Frøyshov, Equivariant aspects of Yang–Mills Floer theory, Topology 41 (2002) 525 MR1910040
13 M Furuta, Homology cobordism group of homology 3–spheres, Invent. Math. 100 (1990) 339 MR1047138
14 M Golla, K Larson, 3–Manifolds that bound no definite 4–manifold, Math. Res. Lett. 30 (2023) 1063
15 M Hedden, P Kirk, Instantons, concordance, and Whitehead doubling, J. Differential Geom. 91 (2012) 281 MR2971290
16 G O Helle, Equivariant instanton Floer homology and calculations for the binary polyhedral spaces, preprint (2022) arXiv:2203.09471
17 P B Kronheimer, Four-manifold invariants from higher-rank bundles, J. Differential Geom. 70 (2005) 59 MR2192061
18 P B Kronheimer, T S Mrowka, Knot homology groups from instantons, J. Topol. 4 (2011) 835 MR2860345
19 M Miller Eismeier, Equivariant instanton homology, preprint (2019) arXiv:1907.01091
20 A Mukherjee, A note on embeddings of 3–manifolds in symplectic 4–manifolds, preprint (2020) arXiv:2010.03681
21 Y Nozaki, K Sato, M Taniguchi, Filtered instanton Floer homology and the homology cobordism group, J. Eur. Math. Soc. 26 (2024) 4699
22 B Owens, S Strle, A characterization of the n (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, On knot Floer homology and lens space surgeries, Topology 44 (2005) 1281 MR2168576
25 J Pinzón-Caicedo, Independence of satellites of torus knots in the smooth concordance group, Geom. Topol. 21 (2017) 3191 MR3692965