E-prints

  1. Examples of buildings constructed via covering spaces, Groups, Geom. Dyn. 3 (2009), 279-298 pdf 
  2. Lectures on orbifolds and reflection groups, notes for the Summer School on Orbifolds and Transformation Groups, Hangzhou, 2008.  pdf
  3. (with J. Dymara, T. Januszkiewicz, J. Meier and B. Okun) Compactly supported cohomology of buildings, Comment. Math. Helv. (2009), to appear.  pdf  arXiv
  4. The Hopf Conjecture and the Singer Conjecture, Guido's Book of Conjectures (ed. I. Chatterji) Monographie de L'Enseignement Math. 40 (2008), pp. 80-82.  pdf
  5. (with T. Januszkiewicz and I. Leary) The L2-cohomology of hyperlane complements, Groups Geom. Dyn. 1 (2007) 301--309. pdf  arXiv
  6. (with J. Dymara, T. Januszkiewicz and B. Okun) Cohomology of Coxeter groups with group ring coefficients: II, Algebraic & Geometric Topology 6 (2006), 1289-1318. pdf  arXiv
  7. (with J. Dymara, T. Januszkiewicz and B. Okun)   Weighted L2-cohomology of Coxeter groups, Geometry & Topology 11 (2007), 47-138. pdf  arXiv
  8. (with J. Meier)  Reflection groups and CAT(0) complexes with exotic local structures, High-dimensional Manifold Topology (eds. F.T. Farrell and W. Luck),World Scientific, New Jersey, 2003, 151-158. pdf  ps
  9. (with B. Okun)   L2 - homology of right-angled Coxeter groups associated  to barycentric subdivisions, Topology and Its Applications 140 (2004), 197-202. pdf    ps
  10. (with I. Leary)   Some examples of discrete group actions on aspherical manifolds, High-dimensional Manifold Topology (eds. F.T. Farrell and W. Luck),World Scientific, New Jersey, 2003, 139-150. pdf
  11. (with I. Leary)   L2-cohomology of Artin groups, J.  London Math. Soc. 68 (2003), 493--510. pdf
  12. (with T. Januszkiewicz and R. Scott)  Fundamental groups of blow-ups, Advances in Math. 177 (2003), 115-179. pdf  arXiv
  13. (with J. Meier)   The topology at infinity of Coxeter groups and buildings, Comment. Math. Helv. 77 (2002), 746-766.   pdf, Correction.  pdf
  14. Exotic aspherical manifolds,  School on High-dimensional Manifold Topology, ICTP, Trieste 2002. pdf
  15. Nonpositive curvature and reflection groups, in The Handbook  of Geometric Topology, eds. R. Daverman and R. Sher), Elsevier, Amsterdam, 2002, 373-422.  pdf  ps
  16. (with T. Januszkiewicz and S. Weinberger)  Relative hyperbolization and aspherical bordisms , an addendum to “Hyperbolization of Polyhedra,” J. of Differential Geometry 58 (2001),  535-541. pdf
  17. (with B. Okun)  Vanishing theorems and conjectures for the L2-homology of the right-angled Coxeter groups, Geometry & Topology 5 (2001), 7-74. pdf ps arXiv
  18. (with R. Charney) When is a Coxeter system determined by its Coxeter group? J. London Math. Soc. 61 (2000), 441--461. pdf
  19. (with T. Januszkiewicz)  Right-angled Artin groups are commensurable with right-angled Coxeter groups, J. of Pure and Applied Algebra 153 (2000), 229-235.  pdf  
  20. Poincaré duality groups, in Surveys in Surgery Theory, Volume 1 (eds. S. Cappell, A. Ranicki, J. Rosenberg) Annals of Math. Studies, 145, Princeton University Press, Princeton, 2000, 167-193.  pdf
  21.  (with B. Okun and F. Zheng) Piecewise Euclidean structures and Eberlein’s Rigidity Theorem in the singular case, Geometry and Topology  3 (1999), 303-330.  pdf arXiv
  22. (with G. Moussong)  Notes on nonpositively curved polyhedra, in Low Dimensional Topology (eds. K. Boroczky, W. Neumann, A. Stipicz), Bolyai
    Society Math. Studies 8, Janos Bolyai Math. Soc., Budapest, 1999, 11-94.  pdf  ps
  23. Buildings are CAT(0), Geometry and Cohomology in Group Theory (eds P. Kropholler and R. Stohr) London Math. Soc. Lecture Notes 252, Cambridge Univ. Press (1998), 108-123.  pdf
  24. The cohomology of a Coxeter group with group ring coefficients, Duke Math. J. 91 (1998), 297-313. pdf
  25. (with T. Januszkiewicz and R. Scott) Nonpositive curvature of blow-ups, Selecta Math. New series 4 (1998), 491--547. pdf
  26. (with F.D. Ancel and C.R. Guilbault) CAT(0) reflection manifolds, AMS/IP Studies in Advanced Math. 2 (1997), 441--445.  pdf
  27. (with R. Charney and G. Moussong)  Nonpositively curved piecewise Euclidean structures on hyperbolic manifolds, Michigan Math. J. 44 (1997), 201-208.    dvi    ps    pdf
  28. (with R. Charney)   Finite K(\pi,1)'s for Artin Groups, in Prospects in Topology, ed. by F. Quinn, Annals of Math Studies 138, Princeton Univ. Press (1995), 110-124.    dvi    ps    pdf   
  29. (with R. Charney)  The polar dual of a convex polyhedral set in hyperbolic space, Michigan Math. J. 42 (1995), 479-509.    dvi    ps    pdf   Correction, 43 (1996), 619.   pdf
  30. (with R. Charney)  The K(\pi,1)-problem for hyperplane complements associated to infinite reflection groups, J. of AMS 8 (1995), 597-627.    dvi    ps    pdf   pdf from JSTOR
  31. (with R. Charney)  On the Euler characteristic of a nonpositively curved piecewise Euclidean manifold, Pacific J. of Math. 171 (1995), 117-137.    dvi    ps    pdf
  32. (with R. Charney) Strict hyperbolization, Topology 34 (1995), 329--350.  pdf
  33. (with R. Charney) Singular metrics of nonpositive curvature on branched covers of Riemannian manifolds, Amer. J. Math. 115 (1993), 929-1009. pdf (from JSTOR)
  34. (with R. Charney) Reciprocity of growth functions of Coxeter groups, Geom. Dedicata 39 (1991), 373-378.  pdf
  35. (with M. Shapiro) Coxeter groups are almost convex, Geom. Dedicata 39 (1991), 55-57.  pdf
  36. (with T. Januszkiewicz) Hyperbolization of polyhedra, J. Diff. Geom. 34 (1991), 347--388.  pdf
  37. (with T. Januszkiewicz) Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. Journal, 62, (1991), 417--451.  pdf  (4.6 MB)
  38. (with J-C. Hausmann) Aspherical manifolds without smooth or PL structure, Springer Lecture Notes in Math. 1370, (1989), 135--142.  pdf
  39. Regular convex cell complexes, in Geometry and Topology, Marcel Dekker (1987), 53-88.  pdf  (2.6 MB)
  40. The homology of a space on which a reflection group acts, Duke Math. Journal 55, (1987), 97--104.  pdf  Erratum 56 (1988), 221. pdf
  41. Some aspherical manifolds, Duke Math. Journal 55, (1987), 105--139.  pdf  (3.1 MB)
  42. A hyperbolic 4-manifold, Proc. of AMS 93 (1985), 325-328. pdf (from JSTOR)
  43. Coxeter groups and aspherical manifolds, Springer Lecture Notes in Math. 1051 (1984) 197--221.  pdf
  44. (with J. Morgan) Finite group actions on homotopy 3-spheres, in The Smith Conjecture, Academic Press (1984), 181--225.  pdf  (5.2 MB)
  45. A survey of results in higher dimensions, ibid, 227--240.  pdf (1.7 MB)
  46. Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. 117 (1983), 293-324. pdf (from JSTOR)
  47. Some group actions on homotopy spheres of dimension seven and fifteen, Amer. J. Math. 104 (1982), 59-90. pdf (from JSTOR)
  48. Universal G-manifolds, Amer. J. Math. 103 (1981), 103-141. pdf (from JSTOR)
  49. (with W.C. Hsiang and J. Morgan) Concordance classes of regular O(n) actions on homotopy spheres, Acta Math. 144 (1980), 153--221.  pdf  (6.3 MB)
  50. (with W.C. Hsiang and W.Y. Hsiang) Differentiable actions of compact simple groups on homotopy spheres and Euclidean spaces, in Symposia in Pure Math. 32, AMS (1978) 313--323.  pdf  (1.1 MB)
  51. Smooth G-manifolds as collections of fiber bundles, Pac. Jour. of Math. 77, No. 2, (1978), 315-363. pdf
  52. (with W.C. Hsiang) Concordance classes of regular U(n) and Sp(n) actions on homotopy spheres, Ann. of Math. 105 (1977), 325-341. pdf (from JSTOR)
  53. Smooth actions of the classical groups, Princeton University PhD thesis, 1974.   pdf (16.4 MB)
  54. Examples of actions on manifolds almost diffeomorphic to Vn+1,2 , Springer Lecture Notes in Math. 298 (1972), 301--317. pdf
  55. Group actions on exotic Stiefel manifolds, Princeton University senior thesis, 1971.  pdf (5.6 MB)
Books: Multiaxial Actions on Manifolds, Springer Lecture Notes in Math.  643, Springer, 1978.  pdf
          The Geometry and Topology of Coxeter Groups, London Math. Soc. Monograph Series 32, Princeton University Press, Princeton, 2007. pdf

Abstracts (Oberwolfach reports):  a) Weighted L2-cohomology of Coxeter groups, Oberwolfach Reports, 19/2006. pdf   b) Cohomology of Coxeter groups with group ring coefficients, Oberwolfach  Reports, 43/2006. pdf  c) Compactly supported cohomology of buildings, Oberwolfach Reports, 2008. pdf

Book Review: Combinatorics of Coxeter Groups (by Bjorner and Brenti) Bulletin of the AMS, 45 (2008), 445-449. pdf

Gabor Moussong's thesis:  Hyperbolic Coxeter Groups, OSU, 1988.  pdf

(with M. Shapiro) Coxeter groups are Automatic (1991 preprint with gap in proof of "Parallel Wall Theorem"). pdf