Volume 9 (2006)

Download this article
For screen
For printing
Recent Volumes
Volume 1, 1998
Volume 2, 1999
Volume 3, 2000
Volume 4, 2002
Volume 5, 2002
Volume 6, 2003
Volume 7, 2004
Volume 8, 2006
Volume 9, 2006
Volume 10, 2007
Volume 11, 2007
Volume 12, 2007
Volume 13, 2008
Volume 14, 2008
Volume 15, 2008
Volume 16, 2009
Volume 17, 2011
Volume 18, 2012
Volume 19, 2015
The Series
All Volumes
 
About this Series
Ethics Statement
Purchase Printed Copies
Author Index
ISSN 1464-8997 (online)
ISSN 1464-8989 (print)
 
MSP Books and Monographs
Other MSP Publications

The quadratic form E8 and exotic homology manifolds

Washington Mio and Andrew Ranicki

Geometry & Topology Monographs 9 (2006) 33–66

DOI: 10.2140/gtm.2006.9.33

Bibliography
1 J Bryant, S Ferry, W Mio, S Weinberger, Topology of homology manifolds, Bull. Amer. Math. Soc. (N.S.) 28 (1993) 324–328 MR1183997
2 J Bryant, S Ferry, W Mio, S Weinberger, Topology of homology manifolds, Ann. of Math. (2) 143 (1996) 435–467 MR1394965
3 J W Cannon, The recognition problem: what is a topological manifold?, Bull. Amer. Math. Soc. 84 (1978) 832–866 MR0494113
4 J W Cannon, Shrinking cell-like decompositions of manifolds. Codimension three, Ann. of Math. (2) 110 (1979) 83–112 MR541330
5 F Clauwens, The K–theory of almost symmetric forms, from: "Topological structures, II (Proc. Sympos. Topology and Geom., Amsterdam, 1978), Part 1", Math. Centre Tracts 115, Math. Centrum (1979) 41–49 MR565824
6 F Clauwens, Product formulae for surgery obstructions, from: "Algebraic topology, Aarhus 1978", Lecture Notes in Math. 763, Springer (1979) 198–211 MR561223
7 F Clauwens, Surgery on products I, II, Nederl. Akad. Wetensch. Indag. Math. 41 (1979) 121–132, 133–144 MR535561
8 R J Daverman, Decompositions of manifolds, Pure and Applied Mathematics 124, Academic Press (1986) MR872468
9 R D Edwards, The topology of manifolds and cell-like maps, from: "Proceedings of the International Congress of Mathematicians (Helsinki, 1978)", Acad. Sci. Fennica (1980) 111–127 MR562601
10 S C Ferry, Epsilon-Delta surgery over Z (2003)
11 M Gromov, Positive curvature, macroscopic dimension, spectral gaps and higher signatures, from: "Functional analysis on the eve of the 21st century, Vol. II (New Brunswick, NJ, 1993)", Progr. Math. 132, Birkhäuser (1996) 1–213 MR1389019
12 K Kawamura, An inverse system approach to Menger manifolds, Topology Appl. 61 (1995) 281–292 MR1317082
13 R J Milgram, A A Ranicki, The L–theory of Laurent extensions and genus 0 function fields, J. Reine Angew. Math. 406 (1990) 121–166 MR1048238
14 W Mio, Homology manifolds, from: "Surveys on surgery theory, Vol. 1", Ann. of Math. Stud. 145, Princeton Univ. Press (2000) 323–343 MR1747540
15 E K Pedersen, F Quinn, A Ranicki, Controlled surgery with trivial local fundamental groups, from: "High-dimensional manifold topology", World Sci. Publishing (2003) 421–426 MR2048731
16 E Pedersen, M Yamasaki, Stability in controlled L–theory, from: "Exotic homology manifolds (Oberwolfach 2003)", Geom. Topol. Monogr. 9 (2006) 69–88 arXiv:math.GT/0402218
17 F Quinn, Resolutions of homology manifolds, and the topological characterization of manifolds, Invent. Math. 72 (1983) 267–284 MR700771
18 F Quinn, An obstruction to the resolution of homology manifolds, Michigan Math. J. 34 (1987) 285–291 MR894878
19 A Ranicki, The algebraic theory of surgery I: Foundations, Proc. London Math. Soc. (3) 40 (1980) 87–192 MR560997
20 A A Ranicki, Algebraic L–theory and topological manifolds, Cambridge Tracts in Mathematics 102, Cambridge University Press (1992) MR1211640
21 A Ranicki, Lower K– and L–theory, London Mathematical Society Lecture Note Series 178, Cambridge University Press (1992) MR1208729
22 A Ranicki, High-dimensional knot theory, Springer Monographs in Mathematics, Springer (1998) MR1713074
23 A Ranicki, M Yamasaki, Controlled L–theory, from: "Exotic homology manifolds (Oberwolfach 2003)", Geom. Topol. Monogr. 9 (2006) 107–156 arXiv:math.GT/0402217
24 J L Shaneson, Wall's surgery obstruction groups for G× Z, Ann. of Math. (2) 90 (1969) 296–334 MR0246310
25 C T C Wall, Surgery on compact manifolds, Mathematical Surveys and Monographs 69, American Mathematical Society (1999) MR1687388
26 S Weinberger, Nonlocally linear manifolds and orbifolds, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 637–647 MR1403964
27 M Yamasaki, L–groups of crystallographic groups, Invent. Math. 88 (1987) 571–602 MR884801