Algebraic & Geometric Topology Volume 9, issue 2 (2009)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Novikov homology of HNN–extensions and right-angled Artin groups

Dirk Schütz

Algebraic & Geometric Topology 9 (2009) 773–809

DOI: 10.2140/agt.2009.9.773

Bibliography

1	M Bestvina, N Brady, Morse theory and finiteness properties of groups, Invent. Math. 129 (1997) 445 MR1465330
2	R Bieri, Deficiency and the geometric invariants of a group, J. Pure Appl. Algebra 208 (2007) 951 MR2283437
3	R Bieri, R Geoghegan, D Kochloukova, The sigma invariants of Thompson’s group F arXiv:0807.5138
4	R Bieri, W D Neumann, R Strebel, A geometric invariant of discrete groups, Invent. Math. 90 (1987) 451 MR914846
5	R Bieri, B Renz, Valuations on free resolutions and higher geometric invariants of groups, Comment. Math. Helv. 63 (1988) 464 MR960770
6	K S Brown, Cohomology of groups, 87, Springer (1982) MR672956
7	K U Bux, C Gonzalez, The Bestvina–Brady construction revisited : geometric computation of Σ–invariants for right-angled Artin groups, J. London Math. Soc. (2) 60 (1999) 793 MR1753814
8	M Damian, Formes fermées non singulières et propriétés de finitude des groupes, Ann. Sci. École Norm. Sup. (4) 33 (2000) 301 MR1775183
9	M Farber, Topology of closed one-forms, 108, Amer. Math. Soc. (2004) MR2034601
10	M Farber, R Geoghegan, D Schütz, Closed 1–forms in topology and geometric group theory arXiv:0810.0962
11	R Geoghegan, Topological methods in group theory, 243, Springer (2008) MR2365352
12	A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
13	B Z Hu, Whitehead groups of finite polyhedra with nonpositive curvature, J. Differential Geom. 38 (1993) 501 MR1243784
14	M A Kervaire, Smooth homology spheres and their fundamental groups, Trans. Amer. Math. Soc. 144 (1969) 67 MR0253347
15	D H Kochloukova, The Σ^m–conjecture for a class of metabelian groups, from: "Groups St. Andrews 1997 in Bath, II" (editors C M Campbell, E F Robertson, N Ruskuc, G C Smit), London Math. Soc. Lecture Note Ser. 261, Cambridge Univ. Press (1999) 492 MR1676645
16	D H Kochloukova, Some Novikov rings that are von Neumann finite and knot-like groups, Comment. Math. Helv. 81 (2006) 931 MR2271229
17	F Latour, Existence de 1–formes fermées non singulières dans une classe de cohomologie de de Rham, Inst. Hautes Études Sci. Publ. Math. (1994) MR1320607
18	R C Lyndon, P E Schupp, Combinatorial group theory, 89, Springer (1977) MR0577064
19	J Meier, H Meinert, L VanWyk, Higher generation subgroup sets and the Σ–invariants of graph groups, Comment. Math. Helv. 73 (1998) 22 MR1610579
20	H Meinert, The homological invariants for metabelian groups of finite Prüfer rank : a proof of the Σ^m–conjecture, Proc. London Math. Soc. (3) 72 (1996) 385 MR1367084
21	S P Novikov, Multivalued functions and functionals. An analogue of the Morse theory, Dokl. Akad. Nauk SSSR 260 (1981) 31 MR630459
22	A V Pajitnov, A A Ranicki, The Whitehead group of the Novikov ring, K–Theory 21 (2000) 325 MR1828181
23	D Schütz, On the Whitehead group of Novikov rings associated to irrational homomorphisms, J. Pure Appl. Algebra 208 (2007) 449 MR2277687
24	J C Sikorav, Points fixes de difféomorphismes symplectiques, intersectiones de sous-variétés lagrangiennes, et singularités de un-formes fermées, PhD thesis, Université Paris-Sud, Centre d’Orsay (1987)