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One-relator Kähler groups

Indranil Biswas and Mahan Mj

Geometry & Topology 16 (2012) 2171–2186
Bibliography
1 J Amorós, On the Malcev completion of Kähler groups, Comment. Math. Helv. 71 (1996) 192 MR1396672
2 J Amorós, M Burger, K Corlette, D Kotschick, D Toledo, Fundamental groups of compact Kähler manifolds, Mathematical Surveys and Monographs 44, American Mathematical Society (1996) MR1379330
3 D Arapura, Fundamental groups of smooth projective varieties, from: "Current topics in complex algebraic geometry" (editors H Clemens, J Kollár), Math. Sci. Res. Inst. Publ. 28, Cambridge Univ. Press (1995) 1 MR1397055
4 R Bieri, Normal subgroups in duality groups and in groups of cohomological dimension $2$, J. Pure Appl. Algebra 7 (1976) 35 MR0390078
5 R Bieri, B Eckmann, Groups with homological duality generalizing Poincaré duality, Invent. Math. 20 (1973) 103 MR0340449
6 I Biswas, M Mj, H Seshadri, Three manifold groups, Kähler groups and complex surfaces, to appear in Commun. Contemp. Math. arXiv:1101.1162
7 K S Brown, Cohomology of groups, Graduate Texts in Mathematics 87, Springer (1982) MR672956
8 A Casson, D Jungreis, Convergence groups and Seifert fibered $3$-manifolds, Invent. Math. 118 (1994) 441 MR1296353
9 F Catanese, J Keum, K Oguiso, Some remarks on the universal cover of an open $K3$ surface, Math. Ann. 325 (2003) 279 MR1962049
10 D J Collins, Intersections of conjugates of Magnus subgroups of one-relator groups, from: "The Zieschang Gedenkschrift" (editors M Boileau, M Scharlemann, R Weidmann), Geom. Topol. Monogr. 14 (2008) 135 MR2484702
11 T Delzant, M Gromov, Cuts in Kähler groups, from: "Infinite groups: geometric, combinatorial and dynamical aspects" (editors L Bartholdi, T Ceccherini-Silberstein, T Smirnova-Nagnibeda, A Zuk), Progr. Math. 248, Birkhäuser (2005) 31 MR2195452
12 M Feighn, M Handel, Mapping tori of free group automorphisms are coherent, Ann. of Math. 149 (1999) 1061 MR1709311
13 J Fischer, A Karrass, D Solitar, On one-relator groups having elements of finite order, Proc. Amer. Math. Soc. 33 (1972) 297 MR0311780
14 D Gabai, Convergence groups are Fuchsian groups, Ann. of Math. 136 (1992) 447 MR1189862
15 R Gitik, M Mitra, E Rips, M Sageev, Widths of subgroups, Trans. Amer. Math. Soc. 350 (1998) 321 MR1389776
16 M Green, R Lazarsfeld, Higher obstructions to deforming cohomology groups of line bundles, J. Amer. Math. Soc. 4 (1991) 87 MR1076513
17 M Gromov, Hyperbolic groups, from: "Essays in group theory" (editor S M Gersten), Math. Sci. Res. Inst. Publ. 8, Springer (1987) 75 MR919829
18 M Gromov, Sur le groupe fondamental d'une variété kählérienne, C. R. Acad. Sci. Paris Sér. I Math. 308 (1989) 67 MR983460
19 A Karrass, D Solitar, One relator groups having a finitely presented normal subgroup, Proc. Amer. Math. Soc. 69 (1978) 219 MR0466323
20 D Kotschick, The deficiencies of Kähler groups arXiv:1204:6278
21 D Kotschick, Three-manifolds and Kähler groups, to appear in Ann. Inst. Fourier arXiv:1011.4084
22 R C Lyndon, P E Schupp, Combinatorial group theory, Ergeb. Math. Grenzgeb. 89, Springer (1977) MR0577064
23 W Magnus, A Karrass, D Solitar, Combinatorial group theory: Presentations of groups in terms of generators and relations, Interscience (1966) MR0207802
24 J McCool, P E Schupp, On one relator groups and $\mathrm{HNN}$ extensions, J. Austral. Math. Soc. 16 (1973) 249 MR0338186
25 D I Moldavanskiĭ, Certain subgroups of groups with one defining relation, Sibirsk. Mat. Ž. 8 (1967) 1370 MR0220810
26 K Murasugi, The center of a group with a single defining relation, Math. Ann. 155 (1964) 246 MR0163945
27 P Scott, The geometries of $3$-manifolds, Bull. London Math. Soc. 15 (1983) 401 MR705527
28 G Xiao, $\pi_1$ of elliptic and hyperelliptic surfaces, Internat. J. Math. 2 (1991) 599 MR1124285