HOMOLOGY MANIFOLDS

Related papers in the Triangulation and the Hauptvermutung directory.

Miniworkshop on Exotic Homology Manifolds, Oberwolfach, 29 June - 5 July, 2003. Photos.
Oberwolfach 2003 conference report
Proceedings of the Oberwolfach 2003 conference, published in Volume 9 of the Geometry and Topology Monographs (2006). Papers by Bryant, Daverman-Halverson, Hegenbarth-Repovs, Mio-Ranicki, Pedersen-Yamasaki, Quinn, Ranicki-Yamasaki.
Suspensions of homology spheres R.Edwards. 1970's preprint, posted on http://arxiv.org/abs/math/0610573 in 2006.
Resolutions of homology manifolds, and the topological characterization of manifolds F.Quinn. Inventiones Math. 72, 267--284 (1983)
A geometric interpretation of Siebenmann's periodicity phenomenon by S.Cappell and S.Weinberger,
Geometry and topology, Lecture Notes in Pure and Appl. Math. 105, 47--52, Dekker (1985)
An obstruction to the resolution of homology manifolds F.Quinn. Michigan Math. J. 34, 284--291 (1987)
Algebraic L-theory and topological manifolds A.Ranicki. Cambridge Tracts in Mathematics 102 (1992). (Chapter 25 describes the 4-periodic surgery spectrum used to classify exotic homology manifold structures).
Detection of higher dimensional topological manifolds among topological spaces D. Repovs, Giornate di Topologia e Geometria Delle Varieta, Bologna 1990, M.Ferri, Ed., Univ. degli Studi di Bologna, 113--143 (1992)
Topology of homology manifolds J.Bryant-S.Ferry-W.Mio-S.Weinberger. Bull. Amer. Math. Soc. (N.S.) 28, 324-328 (1993)
The recognition problem for topological manifolds: A survey D. Repovs, Kodai Math. J. 17, 538--548 (1994)
Epsilon surgery S.Ferry-E.K.Pedersen, in `Novikov conjectures, Index Theorems and Rigidity', Proc. 1993 Oberwolfach Conference, Vol. 2, L.M.S. Lecture Notes 227, Cambridge, 167--226 (1995)
Nonlocally linear manifolds and orbifolds. S.Weinberger. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), 637--647, Birkhäuser, Basel (1995)
Topology of homology manifolds J.Bryant-S.Ferry-W.Mio-S.Weinberger. Annals of Maths. 143, 435-467 (1996)
Mathematical Review of BFMW paper A.Ranicki. MR97b:57017 (1997)

Transversality for homology manifolds H.Johnston, Topology 38, 673--697 (1999)
Embeddings of homology manifolds in codimension >= 3 J.Bryant-W.Mio, Topology 38, 811--821 (1999)
Transversality in generalized manifolds J.Bryant-W.Mio, Topology and Its Applications 94, 7-12 (1999)
Embeddings in generalized manifolds J.Bryant-W.Mio, Trans. A.M.S. 352, 1131--1147 (2000)
Homology manifold bordism H.Johnston-A.Ranicki e-print AT.9909130, Trans. A.M.S. 352, 5093--5137 (2000)
Homology manifolds W.Mio, from "Surveys on Surgery Theory", Vol 1., Annals of Maths. Study 145, 323-344 (2000)
Homology manifolds S.Weinberger. Handbook of geometric topology, 1085--1102, North-Holland, Amsterdam (2002)
Splitting manifold approximate fibrations J.Bryant and P.Kirby, Topology 41, 1041-1050 (2002)
Controlled surgery with trivial local fundamental groups E.Pedersen-F.Quinn-A.Ranicki. e-print AT.0111269
Published in the Proceedings of the School on high-dimensional manifold topology, ICTP Trieste, 21 May - 8 June, 2001, 421--426, World Scientific (2003)
Epsilon-delta surgery over Z S.Ferry, Geometriae Dedicata 148, 71--101 (2010)
Desingularizing homology manifolds J.Bryant-S.Ferry-W.Mio-S.Weinberger, Geometry and Topology 11, 1289--1314 (2007)