OnL 2-homology and asphericity

Jonathan A. Hillman

doi:10.1007/bf02760686

journal article Dec 01, 1997

OnL 2-homology and asphericity

Jonathan A. Hillman

Israel Journal of Mathematics Vol. 99 No. 1 pp. 271-283 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf02760686

Topics

No keywords indexed for this article. Browse by subject →

References

23

[1]

[At] M. F. Atiyah,Elliptic operators, discrete groups and von Neumann algebras, Astérisque32/33 (1976), 43–72.

[2]

[Bi] R. Bieri,Homological Dimension of Discrete Groups, Queen Mary College Lecture Notes, London, 1976.

[3]

[CG] J. Cheeger and M. Gromov,L 2-Cohomology and group cohomology, Topology25 (1986), 189–215. 10.1016/0040-9383(86)90039-x

[4]

[Co] T. D. Cochran,Ribbon knots in S 4, Journal of the London Mathematical Society28 (1983), 563–576. 10.1112/jlms/s2-28.3.563

[5]

[Ec1] B. Eckmann,Amenable groups and Euler characteristic, Commentarii Mathematici Helvetici67 (1992), 383–393. 10.1007/bf02566509

[6]

[Ec2] B. Eckmann,Manifolds of even dimension with amenable fundamental group, Commentarii Mathematici Helvetici69 (1994), 501–511. 10.1007/bf02564501

[7]

[Go] C. McA. Gordon,Ribbon concordance of knots in the 3-sphere, Mathematische Annalen257 (1981), 157–170. 10.1007/bf01458281

[8]

[Gt] D. H. Gottlieb,A certain subgroup of the fundamental group, American Journal of Mathematics87 (1965), 840–856. 10.2307/2373248

[9]

[Gr] M. Gromov,Geometric Group Theory, Vol. 2:Asymptotic Invariants of Infinite Groups (G. A. Niblo and M. A. Roller, eds.), London Mathematical Society Lecture Note Series 182, Cambridge University Press, Cambridge-New York-Melbourne, 1993.

[10]

[Hi1] J. A. Hillman,Aspherical four-manifolds and the centres of two-knot groups, Commentarii Mathematici Helvetici56 (1981), 465–473. Corrigendum:ibid. 58 (1983), 166. 10.1007/bf02566223

[11]

[Hi2] J. A. Hillman,2-Knots and their Groups, Australian Mathematical Society Lecture Series 5, Cambridge University Press, Cambridge-New York-Melbourne, 1989.

[12]

[Hi3] J. A. Hillman,Elementary amenable groups and 4-manifolds with Euler characteristic 0, Journal of the American Mathematical Society50 (1991), 160–170.

[13]

[Hi4] J. A. Hillman,On 3-dimensional Poincaré duality complexes and 2-knot groups, Mathematical Proceedings of the Cambridge Philosophical Society114 (1993), 215–218. 10.1017/s0305004100071541

[14]

[Hi5] J. A. Hillman,The Algebraic Characterization of Geometric Four-Manifolds, London Mathematical Society Lecture Note Series, 198, Cambridge University Press, Cambridge-New York-Melbourne, 1994. 10.1017/cbo9780511526350

[15]

[Hi6] J. A. Hillman,On 4-dimensional mapping tori and product geometries, Journal of the London Mathematical Society, to appear. 10.1112/s0024610798006231

[16]

[Ho] J Howie,Some remarks on a problem of J.H.C. Whitehead, Topology22 (1983), 475–485. 10.1016/0040-9383(83)90038-1

[17]

[Li] P. A. Linnell,Zero divisors and group von Neumann algebras, Pacific Journal of Mathematics149 (1991), 349–363. 10.2140/pjm.1991.149.349

[18]

[Lü] W. Lück,L 2-Betti numbers of mapping tori and groups, Topology33 (1994), 203–214. 10.1016/0040-9383(94)90011-6

[19]

[Mi] M. Mihalik,Solvable groups that are simply connected at ∞, Mathematische Zeitschrift195 (1987), 79–87. 10.1007/bf01161600

[20]

[Ra] E. Rapaport Strasser,Knot-like groups, inKnots, Groups and 3-Manifolds (L. P. Neuwirth, ed.), Annals of Mathematics Study 84, Princeton University Press, Princeton, N.J., 1975, pp. 119–133. 10.1515/9781400881512-011

[21]

[Ro] S. Rosset,A vanishing theorem for Euler characteristics, Mathematische Zeitschrift185 (1984), 211–215. 10.1007/bf01181691

[22]

[Si1] D. Silver,Examples of 3-knots with no minimal Seifert manifolds, Mathematical Proceedings of the Cambridge Philosophical Society110 (1991), 417–420. 10.1017/s0305004100070481

[23]

[Si2] D. Silver,HNN bases and high-dimensional knots, Proceedings of the American Mathematical Society124 (1996), 1247–1252. 10.1090/s0002-9939-96-03520-4

Metrics

8

Citations

23

References

Details

Published: Dec 01, 1997
Vol/Issue: 99(1)
Pages: 271-283
License: View

Authors

J

Jonathan A. Hillman

Cite This Article

Jonathan A. Hillman (1997). OnL 2-homology and asphericity. Israel Journal of Mathematics, 99(1), 271-283. https://doi.org/10.1007/bf02760686

OnL 2-homology and asphericity

You May Also Like