Preprint versions
Preprints of a few published papers
I have made a few preprint versions of published papers available here, while I look for a new home for my webpages.
Some unpublished peprints can be found here: Temporary preprint page
Some more recent papers can be found on WRAP
Notes on coarse median spaces
Brian H. Bowditch
First draft: March 2017. Revised: September 2017. (18 pages)
In ``Beyond hyperbolicity'', LMS Lecture Note Series, Vol. 454 (ed. M.Hagen, R.C.H.Webb, H.Wilton), Cambridge University Press (2019) 3-24. [Download pdf]
Coarse median spaces and groups
Brian H. Bowditch
November 2011. (42 pages) : Pacific J. Math. 261 (2013) 53-93. [Download pdf]
Stacks of hyperbolic spaces and ends of 3-manifolds
Brian H. Bowditch
February 2002, revised February 2011 (96 pages).
in ``Geometry and Topology Down Under'', Contemporary Mathematics Vol. 597, (eds. C.D.Hodgson, W.H.Jaco, M.G.Scharlemann, S.Tillman) American Mathematical Society (2013) 65-138. (96 pages) [Download pdf (612K)]
One-ended subgroups of mapping class groups
Brian H. Bowditch
First draft: October 2007. Revised: January 2015 (24 pages).
: in ``Hyperbolic geometry and geometric group theory'' (eds. K.Fujiwara, S.Kojima, K.Ohshika) Advanced Studies in Pure Mathematics, Mathematical Society of Japan (2017) 13-36. [Download pdf]
Relatively hyperbolic groups
B.H. Bowditch
First draft: July 1997. Revised: September 2011. (75 pages) : Internat. J. Algebra and Computation. 22 (2012) 1250016, 66pp. [Download pdf]
Notes on tameness
Brian H. Bowditch
First draft: June 2006. Revised: November 2009. (45 pages) : Enseign. Math. 56 (2010) 229-285. [Download pdf (389K)]
Atoroidal surface bundles over surfaces
Brian H. Bowditch
First draft: June 2007. Revised: October 2009 (46 pages) : Geom. Funct. Anal. 19 (2009) 943-988. [Download pdf (427K)]
Tight geodesics in the curve complex
Brian H. Bowditch
First draft: October 2003. Revised: November 2003. (16 pages) : Invent. Math. 171 (2008) 281-300. [Download pdf (191K)]
Length bounds on curves arising from tight geodesics
Brian H. Bowditch
First draft: November 2003. Revised: March 2007. (33 pages) : Geom. Funct. Anal. 17 (2007) 1001-1042. [Download pdf (286K)]
The angel game in the plane
Brian H. Bowditch
First draft: August 2006. Revised: September 2006. (18 pages) : Combin. Probab. Comput. 16 (2007) 345-362. [Download pdf (164K)]
A variation on the unique product property
Brian H. Bowditch
J. London Math. Soc. 62 (2000) 813-826. (15 pages) [Download pdf]
Treelike structures arising from continua and convergence groups
B.H. Bowditch
Memoirs Amer. Math. Soc. 662 (1999). (85 pages) [Download pdf]
Convergence groups and configuration spaces
B.H. Bowditch
in ``Geometric Group Theory Down Under, proceedings of a Special Year in Geometric Group Theory, Canberra, Australia'' (ed. J.Cossey, C.F.Miller III, W.D.Neumann, M.Shapiro), de Gruyter (1999), 23-54. (31 pages) [Download pdf]
Cut points and canonical splittings of hyperbolic groups
B.H. Bowditch
Acta Math. 180 (1998) 145-186. (38 pages) [Download pdf]
Continuously many quasiisometry classes of 2-generator groups
B.H. Bowditch
Comment. Math. Helv. 73 (1998) 232-236. (5 pages) [Download pdf]
A topological characterisation of hyperbolic groups
B.H. Bowditch
J. Amer. Math. Soc. 11 (1998) 643-667. (28 pages) [Download pdf]
Boundaries of geometrically finite groups
B.H. Bowditch
Math. Z. 230 (1999) 509-527. (16 pages, no pictures) [Download pdf]
Connectedness properties of limit sets
B.H. Bowditch
Trans. Amer. Math. Soc. 351 (1999) 3673-3686. (14 pages) [Download pdf]
Markoff triples and quasifuchsian groups
B.H. Bowditch
Proc. Lond. Math. Soc. 77 (1998) 697-736. (42 pages) [Download pdf]