Home Page of Misha Kapovich

Postscript and pdf files of my preprints

3-manifolds and Kleinian groups:

"Hyperbolic manifolds and Discrete Groups. Lectures on Thurston's Hyperbolization". University of Utah Lecture Notes. Appeared in Birkhauser's Progress in Mathematics in 2001.
"Topological aspects of Kleinian groups in several dimensions". MSRI Preprint, 1992. Updated in 2002, submitted to proceedings of 3-rd Ahlfors-Bers Colloquium. Pdf
"On dynamics of pseudo-Anosov homeomorphisms on the representation varieties of surface groups". Ann. Acad. Sci. Fenn., Vol. 23 (1998) p.83-100. Pdf
"Flats in 3-manifolds". Preprint, 1996. Pdf
"On the Ahlfors Finiteness Theorem", Preprint, 2000. (A simple proof which does not require much analysis.) Pdf
"Deformations of representations of discrete subgroups of SO(3,1)". Math. Annalen, Vol. 299 (1994) p. 341-354. Pdf
"On the deformation theory of representations of fundamental groups of hyperbolic 3-manifolds", (joint with John Millson). Topology, Vol. 35, N 4 (1996) p. 1085-1106. Pdf
Hyperbolic 4-manifolds fibered over surfaces. Preprint, 1993.
Conformally flat metrics on 4-manifolds. Preprint, 2002. Pdf

Geometric Group Theory:

"Hyperbolic groups with low-dimensional boundary", (joint with Bruce Kleiner), Ann. de ENS Paris, t. 33 (2000) p. 647-669. Pdf

"Van Kampen's embedding obstruction for discrete groups"

Pdf

"Coarse Alexander duality and duality groups," (joint with Bruce Kleiner), submitted. Pdf

"An example of a 2-dimensional hyperbolic group which cannot act on 2-dimensional negatively curved complexes". Preprint, May 1994.

"Lecture Notes on the Geometric Group Theory." Preprint, February 2003.Pdf

Linkages, arrangements and algebraic geometry:

"On the moduli spaces of polygons in the Euclidean plane", (joint with John Millson). Journal of Differential Geometry, Vol. 42 (1995) N 1, p. 133-164. Pdf

This paper was so good, it was published by the JDG twice: Journal of Differential Geometry, Vol. 42 (1995), N 2, 430-464.

"The symplectic geometry of polygons in the Euclidean space", (joint with John Millson). Journal of Differential Geometry, Vol. 44 (1996) p. 479-513. Pdf
"On the moduli space of a spherical polygonal linkage", (joint with John Millson). Canad. Math. Bull., vol. 42 (3), 1999, p. 307-320. Pdf
"Quantization of bending deformations of polygons in E³, hypergeometric integrals and the Gassner representation", (joint with John Millson). Canad. Math. Bull., Vol. 44, (2001) p. 36-60. Pdf
"The symplectic geometry of polygons in hyperbolic 3-space" (joint with John Millson and Thomas Treloar). Asian Journal of Math., vol. 4 (2000), N1 (Kodaira's 75-th birthday volume), p. 123-164.
"Hodge theory and art of paper-folding", (joint with John Millson). Publications of RIMS, Kyoto, Vol. 33, N 1 (1997) p. 1-33. Pdf
"On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex-algebraic varieties", (joint with John Millson). Math. Publications of IHES, vol. 88 (1999), p. 5-95. Pdf
"Moduli Spaces of Linkages and Arrangements", (joint with John Millson). ``Progress in Geometry'', J.-L. Brylinski, et al (eds.), Progress in Mathematics, Birkhauser, Vol. 172 (1999) p. 237--270.Pdf
"Universality theorems for configuration spaces of planar linkages," (joint with John Millson). Topology, Vol. 41 (2002), no. 6, p. 1051--1107.. Pdf
"On the normal subgroups in the fundamental groups of complex surfaces", Preprint, August 1998. Pdf
"Complex hyperbolic surfaces homotopy-equivalent to a Riemann surface", (joint with Bill Goldman and Bernhard Leeb). Comm. in Analysis and Geom., Vol. 9, N 1 (2001), 61-96. Pdf
"On monodromy of Schwarzian differential equation on Riemann surfaces", (joint with Dan Gallo and Al Marden). Ann. of Math., Vol. 151 (2000), N 2, p. 625-704 . Pdf
"Periods of abelian differentials and dynamics", Preprint, April 2000. Pdf
"Polygons in symmetric spaces and buildings with applications to algebra", (joint with Bernhard Leeb and John Millson), Preprint, October 2002.

Quasi-isometries and spaces of nonpositive curvature

"On asymptotic cones and quasi-isometry classes of fundamental groups of nonpositively curved manifolds", (joint with Bernhard Leeb). GAFA, Vol. 5 (1995) N 3, p. 582- 603. Pdf
"Actions of discrete groups on Hadamard spaces," (joint with Bernhard Leeb). Math. Annalen, Bd. 306 (1996) p. 341-352. Pdf
"Quasi-isometries preserve the geometric decomposition of Haken manifolds", (joint with Bernhard Leeb). Inventiones Math., Vol. 128, F. 2 (1997), p. 393-416. Pdf
"3-manifold groups and nonpositive curvature," (joint with Bernhard Leeb). GAFA, vol. 8 (1998) N 5, p. 841-852. Pdf
"On quasi-isometry invariance of de Rham decomposition of nonpositively curved Riemannian manifolds," (joint with Bruce Kleiner and Bernhard Leeb). Topology, vol. 37 (1998) N 6, p. 1193-1212. Pdf

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