Some recent papers by Peter Shalen
-
Margulis numbers and number fields.
New preprint
-
Four-free groups and hyperbolic geometry
(with Marc
Culler)
-
Volume and homology of one-cusped hyperbolic 3-manifolds (with Marc
Culler)
Algebr. Geom. Topol. 8 (2008), 343--379.
-
Hyperbolic volume and ranks of groups
To appear in the Proceedings of the 2005 workshop on Heegaard
splittings, Technion-IIT, Haifa, Israel
Geometry and Topology Monographs
-
Singular surfaces, mod 2 homology, and hyperbolic volume,
II (with Marc
Culler)
Submitted for publication
- Characteristic Subsurfaces, Character Varieties and Dehn Filling (with Steven Boyer, Marc
Culler and Xingru Zhang)
Submitted for publication
-
Singular surfaces, mod 2 homology, and hyperbolic volume, I
(with Marc
Culler)
To appear in Trans. Amer. Math. Soc.
- The diameter of the set of boundary slopes of a knot
(with Ben Klaff),
Algebraic & Geometric Topology 6 (2006), 1095-1112
-
Dehn surgery, homology and hyperbolic volume (with
Ian Agol and Marc
Culler)
Algebraic & Geometric Topology 6 (2006), 2313-2350
-
Knots with only two strict essential surfaces
(with Marc
Culler)
Proceedings of the Casson Fest (electronic)
Geometry and Topology Monographs 7, Geom. Topol. Publ.,
Coventry, 2004, pp. 335--430
-
Characteristic subsurfaces and Dehn filling
(with Steven Boyer, Marc
Culler and Xingru Zhang)
Trans. Amer. Math. Soc.
357 (2005), no. 6, 2389--2444
-
Real-analytic, volume-preserving actions of lattices on 4-manifolds
(with
Benson
Farb)
C. R. Math. Acad. Sci. Paris 334 (2002), no. 11, 1011--1014
-
Approximation by maximal cusps in boundaries of deformation spaces of
Kleinian groups
(with Richard D. Canary, Marc
Culler and Sa'ar
Hersonsky)
J. Differential Geom. 64 (2003), no. 1, 57--109.
- Three-manifold topology and the tree for PSL_2:
The Smith conjecture and
beyond
Contemporary Mathematics
243
(1999),
189-209
- Representations of 3-manifold groups
Handbook of Geometric Topology
R. Daverman and R. Sher, eds. North-Holland, Amsterdam, 2002,
pp. 955--1044.
- Groups of real-analytic diffeomorphisms of the circle
(with
Benson
Farb)
Ergodic Theory Dynam. Systems 22 (2002), no. 3, 835--844
- Three-Manifolds and Baumslag-Solitar groups
Topology Appl. 110 (2001), 113--118
- Lattice actions, 3-manifolds, and homology
(with
Benson
Farb)
Topology 39 (2000), 573--587
- Boundary slopes of knots
(with
Marc
Culler)
Comm. Math. Helv.
74
(1999),
530-547
-
Homeomorphic graph-manifolds: a contribution to the
\mu constant problem
(with Bernard Perron
)
Topology Appl. 99 (1999), no. 1, 1--39.
-
Real-analytic actions of lattices
(with Benson
Farb)
Invent. Math. 135
(1998), 273-296
-
The First Betti Number of the Smallest Closed
Hyperbolic 3-Manifold
(with
Marc
Culler and Sa'ar
Hersonsky)
Topology 37
(1998), 805-849
- Volumes of Hyperbolic Haken Manifolds, II
(with
Marc
Culler)
Proc. Amer. Math. Soc.
125
(1997), 3059-3067
-
Free Kleinian groups and volumes of hyperbolic 3-manifolds
(with James W. Anderson,
Marc
Culler and Richard D. Canary)
J. Diff. Geom (2) 43 (1996), 738-782
-
Plane Curves Associated to Character Varieties of 3-Manifolds
(with
M.
Culler,
D. Cooper, H. Gillet, and
D. D. Long)
Invent. Math. 118 (1994), 47-84
- Volumes of hyperbolic Haken manifolds, I
(with Marc
Culler)
Invent. Math. 118 (1994),
284-329
- The Volume of a Hyperbolic 3-Manifold with Betti number 2
(with Marc
Culler)
Proc. Amer. Math. Soc. 120
(1994), 1281-1288
-
Hyperbolic volume and mod p homology
(with Marc Culler)
Comm. Math. Helv. 68 (1993), 494-509
- Paradoxical decompositions, 2-generator Kleinian
groups, and volumes of hyperbolic 3-manifolds
(with Marc Culler)
J. Amer. Math. Soc. 5
(1992), 231-288
- Dendrology and its applications
Group Theory from a Geometrical Viewpoint,
ICTP, Trieste, Italy, 26 March-6 April, 1990.
E. Ghys, A. Haefliger and
A. Verjovsky, eds.
World Scientific Publishing,
1991, 543--616
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