HOMOLOGY MANIFOLDS
-
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)