Some of Walter Neumann's (P)reprints
Back to Home Page.
Expository articles and books
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Topology of hypersurface singularities. Appeared in "Erich
Kaehler -- Mathematische Werke, Mathematical works", R. Berndt and
O. Riemenschneider eds., (de Gruyter 2003), 727--736.
.pdf
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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
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A Short Course in Geometric Group Theory. With M. Shapiro
Notes for the ANU Workshop
January/February 1996.
.ps, Topology atlas version.
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Lectures on Seifert Manifolds. Mark Jankins and Walter D Neumann
Brandeis Lecture Notes 2, March 1983
.djvu (750K)
or .pdf (2M).
Research papers
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Minimal singularities are Lipschitz normally embedded.
With Helge Møller Petersen and Anne Pichon,
New Version: July 2018
arXiv.org:1503.03301
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A characterization of Lipschitz normally embedded surface singularities.
With Helge Møller Petersen and Anne Pichon.
July 2018 
arXiv.org:1806.11240
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Tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. Appendix by Anne Pichon and Walter D. Neumann.
Internat. Math. Research Notices, https://doi.org/10.1093/imrn/rnx290
arXiv.org:1705.00038
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Lipschitz geometry does not determine embedded topological type.
With Anne Pichon.
  Published "Trends in Mathematics" (Birkhauser 2016)
.pdf
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Intercusp geodesics and the invariant trace field of hyperbolic 3-manifolds.
With Anastasiia Tsvietkova.>
Published, Proc. AMS. Volume 144, Number 2, February 2016.
arxiv.org:1402.5582
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Choking horns in Lipschitz Geometry of Complex Algebraic
Varieties. Appendix by Walter D Neumann. L. Birbrair, Alexandre Fernandes, Vincent Grandjean,
Donal O'Shea, JGA, Vol 24, Issue 4, https://doi.org/10.1007/s12220-013-9405-x).
.pdf
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Lipschitz geometry of complex curves. With Anne
Pichon. Appeared in Journal of Singularities 10
(2014), 225-234.
.pdf
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Lipschitz geometry of
complex surfaces: analytic invariants and equisingularity. With Anne
Pichon. This July 2014 version is a major revision of the
earlier version posted on the arXiv.
.pdf
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The thick-thin decomposition and the bilipschitz classification of
normal surface singularities. With Lev Birbrair and Anne
Pichon, appeared in Acta Math. 212 (2014), 199-256
.pdf
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Volume bounds
for generalized twisted torus links. With Abhijit Champanerkar,
David Futer, Ilya Kofman, Jessica Purcell, appeared in Math. Res.
Lett. 18 (2011), 1097-1120.
.pdf
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Realizing arithmetic invariants of hyperbolic 3-manifolds, appeared in "Interactions Between Hyperbolic
Geometry, Quantum Topology and Number Theory",
Contemporary Math 541 (AMS 2011), 233-246
.pdf
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Quasi-isometric classification of non-geometric
3-manifold groups. With Jason Behrstock, appeared in
J. reine angew. Math. (Crelle
journal), Issue 669 (2012), 101-120
.pdf
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Principal analytic link theory in homology sphere
links. With A Nemethi and A. Pichon, appeared
in "Proceedings Lib60ber," Contemporary
Math. 538 (Amer. Math. Soc. 2011), 377--387
.pdf
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Quasi-isometry of a class of some higher dimensional
right angled Artin groups. With Jason Behrstock and Tadeusz
Januszkiewicz, appeared in Groups,
Geometry, and Dynamics 4 (2011) 681--692.
.pdf
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On Leighton's graph covering theorem, appeared in Groups,
Geometry, and Dynamics 4 (2011) 863--872
.pdf
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Separating sets, metric tangent cone and applications for
complex algebraic germs. With Lev Birbrair and Alexandre
Fernandes, appeared in Selecta Math. 16
(2010) 377-391
.pdf
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On normal embedding of complex algebraic surfaces. With Lev
Birbrair and Alexandre Fernandes, appeared in
"Real and Complex Singularities,"
London Math Soc. Lecture Notes 380 (2010), 17--22.
.pdf
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$\mu$-constancy does not imply constant bi-Lipschitz
type. With Lev Birbrair and Alexandre Fernandes. August
2008, now incorporated into the above paper "Separating sets ..."
.pdf
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The 2-generalized knot group determines the knot. With
Sam Nelson. Appeared in Commun. Contemp. Math. 10
(2008), 843-847
.pdf
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Bi-Lipschitz geometry of surface
singularities. With Lev Birbrair and Alexandre
Fernandes. Appeared in Geom. Ded. 129 (2009), 259-267
.pdf
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The end curve theorem for normal complex surface
singularities. With J. Wahl. J. European Math. Soc. 12 (2010), 471-503
pdf
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Commensurability and QI classification of free products of
finitely generated abelian groups. With Jason Behrstock and
Tadeusz Januszkiewicz, Appeared in Proc. AMS 137 (2009), 811-813.
.pdf
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Bi-Lipschitz geometry of weighted homogeneous surface
singularities. With Lev Birbrair and Alexandre
Fernandes. April 2007, updated Oct 2007, appeared in
Math. Ann. 342 (2008), 139-144.
.pdf
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Positive generation implies the Hanna Neumann Conjecture. (This is
a one paragraph proof of the result of the title. No publication planned.)
.pdf
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Homological action of the modular group on some cubic moduli
spaces. With W. Goldman. Appeared in Math Res Letters 12
(2005), 575-591.
.pdf 560K
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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
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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
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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.
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Singularities of splice type as universal abelian covers
With J. Wahl. (July 04)
Geometry
and Topology 9 (2005), 699-755
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Complex surface singularities with homology sphere links
With J. Wahl.
Geometry
and Topology 9 (2005), 757-811
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Extended Bloch group and the Cheeger-Chern-Simons class
Geometry
and Topology 8 (2004), 413-474
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The Orevkov invariant of an affine plane curve With Paul Norbury.
(appeared in Trans. Amer. Math. Soc. 355 (2003),
519-538.)
.ps 250K
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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
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Universal abelian covers of quotient-cusps With J. Wahl.
(appeared in Math. Ann. 326 (2003), 75-93)
.ps 235K
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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
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Rational polynomials of simple type With Paul Norbury.
(appeared in Pacific J. Math. 204 (2002), 177-208.)
.ps 330K
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Unfolding polynomial maps at infinity With Paul
Norbury.
(appeared in Math. Annalen 318 (2000), 149-180)
.ps 800K
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Algorithms for polynomials in two variables With P. Wightwick.
(appeared in Combinatorial and Computational Algebra,
Contemporary Math. 264 (AMS 2000) 219-235)
.ps 290K
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Immersed and virtually embedded pi1-injective surfaces
in graph manifolds
Algebraic
and Geometric Topology 1 (2001), 411-426.
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Vanishing cycles and monodromy of complex polynomials With Paul Norbury.
(appeared in Duke Math. J. 101 (2000) 487-497)
.pdf
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Computing arithmetic invariants of 3-manifolds With D. Coulson, O.A.
Goodman, C.D. Hodgson. (appeared in Experimental Mathematics
9 (2000), 127-152)
.pdf
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Conway polynomial of a fibered solvable link (Appeared
in J. Knot Theory and its Ramifications 8 (1999), 505--509)
.ps
120K
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Nontrivial Rational Polynomials in two variables have reducible fibres
With Paul Norbury. (appeared in Bulletin Austr. Math. Soc. 58 (1998),
501-503)
.ps
62K
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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.
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Canonical Decompositions of 3-Manifolds With Gadde A. Swarup.
Geometry
and Topology, Vol. 1 (1997) Paper no. 3, pages 21-40.
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Irregular links at infinity of complex affine plane curves
(appeared in Quarterly J. Math. Oxford 50 (1999) 301-320)
.ps 240K
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Regular geodesic normal forms in virtually abelian groups With M. Shapiro.
(appeared in Bull. Austral. Math. Soc. 55 (1997), 517-519.)
.ps
57K.
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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.
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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.
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Bloch invariants of hyperbolic 3-manifolds With Jun Yang. (mildly
revised version appeared in Duke Math. J. 98 (1999), 29-59)
.pdf
276K.
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Invariants from triangulations of hyperbolic 3-manifolds With Jun
Yang.
Electronic Research
Announcements of the Amer. Math. Soc. 1 (2) (1995). Mildly corrected
version:
.pdf
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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)
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Central extensions of word hyperbolic groups With Lawrence Reeves.
(appeared in Annals of Math. 145 (1997), 183-192)
Magnus
preprint.
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Regular Cocycles and Biautomatic Structures With Lawrence Reeves.
(appeared in Internat. J. Alg. Comp. 6 (1996), 313-324.)
.pdf
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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.
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Commensurability and virtual fibration for graph manifolds.
(appeared in TOPOLOGY 36 (1996) 355-378)
.pdf
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Automatic structures and boundaries for graphs of groups With M. Shapiro.
Magnus
preprint, appeared in Internat. J. Alg. and Comp. 4 (1994), 591-616.
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Automatic structures, rational growth and geometrically finite hyperbolic
groups With M. Shapiro.
Magnus
preprint, appeared in Inv. Math. 120 (1995), 259-287.
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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
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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
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On intersections of finitely generated subgroups of free
groups Appeared in: Groups--Canberra 1989, Springer Lecture Notes in
Mathematics 1456 (1990) 161-170
pdf
Research Monographs
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U. Karras, M. Kreck, W.D. Neumann, E. Ossa, Cutting and Pasting of
Manifolds; SK-Groups Publish or Perish, Boston, MA, 1973
pdf
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S^1-actions and the \alpha-invariant of their involutions.
Bonner Mathematische Schriften 44, 1969 (my dissertation).
pdf (34Mb)
Angelo Di Pasquale's Thesis
Links and Complements of
Arrangements of Complex Projective Plane Algebraic Curves, PhD
Thesis of Angelo Di Pasquale (Melbourne, June 1999).
Back to Walter Neumann's Home Page.