Algebraic & Geometric Topology Volume 19, issue 4 (2019)

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

On negative-definite cobordisms among lens spaces of type $(m,1)$ and uniformization of four-orbifolds

Yoshihiro Fukumoto

Algebraic & Geometric Topology 19 (2019) 1837–1880

DOI: 10.2140/agt.2019.19.1837

Bibliography

1	R C Alperin, An elementary account of Selberg’s lemma, Enseign. Math. 33 (1987) 269 MR925989
2	N Anvari, Extending smooth cyclic group actions on the Poincaré homology sphere, Pacific J. Math. 282 (2016) 9 MR3463422
3	N Anvari, I Hambleton, Cyclic group actions on contractible 4–manifolds, Geom. Topol. 20 (2016) 1127 MR3493101
4	D R Auckly, Topological methods to compute Chern–Simons invariants, Math. Proc. Cambridge Philos. Soc. 115 (1994) 229 MR1277058
5	S Bundgaard, J Nielsen, On normal subgroups with finite index in F–groups, Mat. Tidsskr. B. 1951 (1951) 56 MR0048447
6	A J Casson, C M Gordon, Cobordism of classical knots, from: "À la recherche de la topologie perdue" (editors L Guillou, A Marin), Progr. Math. 62, Birkhäuser (1986) 181 MR900252
7	S K Donaldson, The orientation of Yang–Mills moduli spaces and 4–manifold topology, J. Differential Geom. 26 (1987) 397 MR910015
8	S K Donaldson, Floer homology groups in Yang–Mills theory, 147, Cambridge Univ. Press (2002) MR1883043
9	S K Donaldson, P B Kronheimer, The geometry of four-manifolds, Clarendon (1990) MR1079726
10	R Fintushel, R J Stern, Pseudofree orbifolds, Ann. of Math. 122 (1985) 335 MR808222
11	R Fintushel, R Stern, Rational homology cobordisms of spherical space forms, Topology 26 (1987) 385 MR899056
12	R Fintushel, R J Stern, Instanton homology of Seifert fibred homology three spheres, Proc. London Math. Soc. 61 (1990) 109 MR1051101
13	R H Fox, On Fenchel’s conjecture about F–groups, Mat. Tidsskr. B. 1952 (1952) 61 MR0053937
14	M Furuta, Perturbation of moduli spaces of self-dual connections, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987) 275 MR914023
15	M Furuta, Homology cobordism group of homology 3–spheres, Invent. Math. 100 (1990) 339 MR1047138
16	M Furuta, On self-dual pseudo-connections on some orbifolds, Math. Z. 209 (1992) 319 MR1152260
17	P Gilmer, C Livingston, The Casson–Gordon invariant and link concordance, Topology 31 (1992) 475 MR1174253
18	M Hedden, P Kirk, Chern–Simons invariants, SO(3) instantons, and ℤ∕2 homology cobordism, from: "Chern–Simons gauge theory : 20 years after" (editors J E Andersen, H U Boden, A Hahn, B Himpel), AMS/IP Stud. Adv. Math. 50, Amer. Math. Soc. (2011) 83 MR2809448
19	M Hedden, P Kirk, Instantons, concordance, and Whitehead doubling, J. Differential Geom. 91 (2012) 281 MR2971290
20	M Kato, On uniformizations of orbifolds, from: "Homotopy theory and related topics" (editor H Toda), Adv. Stud. Pure Math. 9, North-Holland (1987) 149 MR896951
21	S G Kim, C Livingston, Nonsplittability of the rational homology cobordism group of 3–manifolds, Pacific J. Math. 271 (2014) 183 MR3259765
22	P Kirk, E Klassen, Chern–Simons invariants of 3–manifolds decomposed along tori and the circle bundle over the representation space of T², Comm. Math. Phys. 153 (1993) 521 MR1218931
23	P B Kronheimer, Four-manifold invariants from higher-rank bundles, J. Differential Geom. 70 (2005) 59 MR2192061
24	H B Lawson Jr., The theory of gauge fields in four dimensions, 58, Amer. Math. Soc. (1985) MR799712
25	P Lisca, Sums of lens spaces bounding rational balls, Algebr. Geom. Topol. 7 (2007) 2141 MR2366190
26	M Namba, Branched coverings and algebraic functions, 161, Longman Scientific & Technical (1987) MR933557
27	J Pinzón-Caicedo, Independence of satellites of torus knots in the smooth concordance group, Geom. Topol. 21 (2017) 3191 MR3692965
28	D Ruberman, Rational homology cobordisms of rational space forms, Topology 27 (1988) 401 MR976583
29	H Sasahira, Instanton Floer homology for lens spaces, Math. Z. 273 (2013) 237 MR3010159
30	I Satake, On a generalization of the notion of manifold, Proc. Nat. Acad. Sci. U.S.A. 42 (1956) 359 MR0079769
31	A Selberg, On discontinuous groups in higher-dimensional symmetric spaces, from: "Contributions to function theory", Tata Institute of Fundamental Research (1960) 147 MR0130324
32	M Stoffregen, Manolescu invariants of connected sums, Proc. Lond. Math. Soc. 115 (2017) 1072 MR3733559
33	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
34	K K Uhlenbeck, Removable singularities in Yang–Mills fields, Bull. Amer. Math. Soc. 1 (1979) 579 MR526970
35	K K Uhlenbeck, Connections with L^p bounds on curvature, Comm. Math. Phys. 83 (1982) 31 MR648356