Walter Neumann's Recent Preprints

Expository articles

Topology of hypersurface singularities. (Appeared in "Erich Kaehler -- Mathematische Werke, Mathematical works", R. Berndt and O. Riemenschneider eds., (de Gruyter 2003), 727--736.)

.ps 135K

Notes on Geometry and 3-Manifolds, with appendix by Paul Norbury. (Appeared in Low Dimensional Topology, B\"or\"oczky, Neumann, Stipsicz, Eds., Bolyai Society Mathematical Studies 8 (1999), 191--267.)

.pdf

A Short Course in Geometric Group Theory. With M. Shapiro Notes for the ANU Workshop January/February 1996

.ps 548K Topology atlas version

Research papers

$\mu$-constancy does not imply constant bi-Lipschitz type. With Lev Birbrair and Alexandre Fernandes. August 2008

.pdf

The 2-generalized knot group determines the knot. With Sam Nelson. March 2008. To appear in Commun. Contemp. Math.

.pdf

Bi-Lipschitz geometry of surface singularities. With Lev Birbrair and Alexandre Fernandes. March 2008

.pdf

The end curve theorem for normal complex surface singularities. With J. Wahl.

pdf

Commensurability and QI classification of free products of finitely generated abelian groups. With Jason Behrstock and Tadeusz Januszkiewicz, to appear in Proc. AMS

.pdf

Bi-Lipschitz geometry of weighted homogeneous surface singularities. With Lev Birbrair and Alexandre Fernandes. April 2007, updated Oct 2007, to appear in Math. Ann.

.pdf

Positive generation implies the Hanna Neumann Conjecture. (This is a one paragraph proof of the result of the title. No publication planned.)

.pdf

Quasi-isometric classification of graph manifold groups. With Jason Behrstock. A mildly revised version appeared in Duke Math. J. 141 (2008), 217--240

.pdf 560K

Graph 3-Manifolds, splice diagrams, singularities. (Notes for a short course in Trieste August 2005, appeared in "Singularity Theory" World Sci. Pub. 2007, 231--238.)

.pdf 135K

Non-isomorphism of categories of algebras Student paper accepted by Comment. Math. Univ. Carol. in 1968, but lost during the military/political upheavals that year in Prague. I found my long-lost carbon copy while moving office in July 2005.

Typescript retyped into TeX: pdf.

Singularities of splice type as universal abelian covers With J. Wahl. (July 04)

Geometry and Topology 9 (2005), 699-755

Extended Bloch group and the Cheeger-Chern-Simons class

Geometry and Topology 8 (2004), 413-474

Complex surface singularities with homology sphere links With J. Wahl.

Geometry and Topology 9 (2005), 757-811

Action of the automorphism group of $x^2+y^2+z^2-xyz-2$ on homology With William M. Goldman. Appeared in Math. Res. Letters 12 (2005), 575--591

.pdf 310K

The Orevkov invariant of an affine plane curve With Paul Norbury. (appeared in Trans. Amer. Math. Soc. 355 (2003), 519-538.)

.ps 250K

Universal abelian covers of surface singularities With J. Wahl. (appeared in Trends on Singularities, A. Libgober and M. Tibar, eds. (Birkhäuser Verlag, 2002), 181--190)

.ps 165K

Universal abelian covers of quotient-cusps With J. Wahl. (appeared in Math. Ann. 326 (2003), 75-93)

.ps 235K

Rigidity of Coxeter groups and Artin groups With Noel Brady, John McCammond, Bernhard M\"uhlherr. (appeared in Geometriae Dedicata 94 (2002), 91-109)

.ps 290K

Rational polynomials of simple type With Paul Norbury. (appeared in Pacific J. Math. 204 (2002), 177-208.)

.ps 330K

Unfolding polynomial maps at infinity With Paul Norbury. (appeared in Math. Annalen 318 (2000), 149-180)

.ps 800K

Algorithms for polynomials in two variables With P. Wightwick. (appeared in Combinatorial and Computational Algebra, Contemporary Math. 264 (AMS 2000) 219-235)

.ps 290K

Immersed and virtually embedded pi₁-injective surfaces in graph manifolds

Algebraic and Geometric Topology 1 (2001), 411-426.

Vanishing cycles and monodromy of complex polynomials With Paul Norbury. (appeared in Duke Math. J. 101 (2000) 487-497)

.ps 318K

Computing arithmetic invariants of 3-manifolds With D. Coulson, O.A. Goodman, C.D. Hodgson. (appeared in Experimental Mathematics 9 (2000), 127-152)

.ps 590K

Conway polynomial of a fibered solvable link (Appeared in J. Knot Theory and its Ramifications 8 (1999), 505--509)

.ps 120K

Nontrivial Rational Polynomials in two variables have reducible fibres With Paul Norbury. (appeared in Bulletin Austr. Math. Soc. 58 (1998), 501-503)

.ps 62K

Hilbert's 3rd problems and invariants of 3-manifolds

Geometry and Topology Monographs 1 (1998), The Epstein Birthday Schrift, paper no. 19, pages 383-411.

Canonical Decompositions of 3-Manifolds With Gadde A. Swarup.

Geometry and Topology, Vol. 1 (1997) Paper no. 3, pages 21-40.

Irregular links at infinity of complex affine plane curves (appeared in Quarterly J. Math. Oxford 50 (1999) 301-320)

.ps 240K

Regular geodesic normal forms in virtually abelian groups With M. Shapiro. (appeared in Bull. Austral. Math. Soc. 55 (1997), 517-519.)

.ps 57K.

Automatic structures on central extensions With M. Shapiro. (appeared in "Geometric Group Theory Down Under, Proceedings of a special year in Geometric Group Theory, Canberra, Australia, 1996", J. Cossey et al. eds., de Gruyter Verlag 1999, 261-280)

.ps 540K.

Some examples of hyperbolic groups With G.A. Swarup and C.F. Miller III. (appeared in "Geometric Group Theory Down Under, Proceedings of of a special year in Geometric Group Theory, Canberra, Australia, 1996", J. Cossey et al. eds., de Gruyter Verlag 1999, 195-202)

.ps 129K.

Bloch invariants of hyperbolic 3-manifolds With Jun Yang. (mildly revised version appeared in Duke Math. J. 98 (1999), 29-59)

.pdf 276K.

Invariants from triangulations of hyperbolic 3-manifolds With Jun Yang.

Electronic Research Announcements of the Amer. Math. Soc. 1 (2) (1995)

.pdf 126K (mildly corrected version)

Rationality problems for K-theory and Chern-Simons invariants of hyperbolic 3-manifolds With Jun Yang. (Appeared in Enseignement Math\'ematique 41 (1995), 281-296)

.pdf 148K (mildly corrected version)

Central extensions of word hyperbolic groups With Lawrence Reeves. (appeared in Annals of Math. 145 (1997), 183-192)

Magnus preprint.

Regular Cocycles and Biautomatic Structures With Lawrence Reeves. (appeared in Internat. J. Alg. Comp. 6 (1996), 313-324.)

.ps 123K.

Kleinian Groups Generated by Rotations (11/94, appeared in "Groups -- Korea '94" Eds.: Kim/Johnson, Walter de Gruyter Verlag, Berlin - New York, 1995, 251--256.)

.ps 105K.

Commensurability and virtual fibration for graph manifolds. (appeared in TOPOLOGY 36 (1996) 355-378)

.ps 216K.

Automatic structures and boundaries for graphs of groups With M. Shapiro.

Magnus preprint, appeared in Internat. J. Alg. and Comp. 4 (1994), 591-616.

Automatic structures, rational growth and geometrically finite hyperbolic groups With M. Shapiro.

Magnus preprint, appeared in Inv. Math. 120 (1995), 259-287.

Combinatorics of 3-cycles and the Chern-Simons invariant of hyperbolic 3-manifolds (appeared in "Topology 90, Proceedings of the Research Semester in Low Dimensional Topology at Ohio State" (Walter de Gruyter Verlag, Berlin - New York 1992), 243--272.

.pdf

Arithmetic of hyperbolic 3-manifolds With Alan Reid. Appeared in "Topology 90, Proceedings of the Research Semester in Low Dimensional Topology at Ohio State" (Walter de Gruyter Verlag, Berlin - New York 1992), 273--310.

.pdf