|
Algebraic and Geometric Topology 8 (2008)
757–785
|
| 1 |
A Adem, R J
Milgram, Cohomology of finite groups, Grundlehren
series 309, Springer (1994) MR1317096 |
| 2 |
E Artin, Theorie
der Zöpfe, Abhandlungen Hamburg 4 (1925)
47–72 |
| 3 |
E Artin, Theory of braids,
Ann. of Math. (2) 48 (1947) 101–126 MR0019087 |
| 4 |
D J Benson,
F R Cohen, Mapping class groups of low genus and
their cohomology, Mem. Amer. Math. Soc. 90 (1991) MR1052554 |
| 5 |
J S Birman,
Braids, links, and mapping class groups, Annals of Math.
Studies 82, Princeton University Press (1974) MR0375281 |
| 6 |
K S Brown,
Cohomology of groups, Graduate Texts in Mathematics 87,
Springer (1982) MR672956 |
| 7 |
R Brown, Algebraic
topology discussion list (2004) Online at
\hrefhttp://www.lehigh.edu/ dmd1/pz119.txt\tt
http://www.lehigh.edu/\char'176dmd1/pz119.txt |
| 8 |
F R Cohen,
On the mapping
class groups for punctured spheres, the hyperelliptic mapping
class groups, SO(3), and Spinc(3), Amer. J.
Math. 115 (1993) 389–434 MR1216436 |
| 9 |
F R Cohen, S
Gitler, On loop
spaces of configuration spaces, Trans. Amer. Math. Soc.
354 (2002) 1705–1748 MR1881013 |
| 10 |
H S M
Coxeter, Regular complex polytopes, Cambridge
University Press (1991) MR1119304 |
| 11 |
H S M
Coxeter, W O J Moser, Generators and
relations for discrete groups, Ergebnisse series 14,
Springer (1980) MR562913 |
| 12 |
C J Earle, J
Eells, The diffeomorphism group of a compact Riemann
surface, Bull. Amer. Math. Soc. 73 (1967) 557–559
MR0212840 |
| 13 |
E Fadell, Homotopy
groups of configuration spaces and the string problem of
Dirac, Duke Math. J. 29 (1962) 231–242 MR0141127 |
| 14 |
E R Fadell,
S Y Husseini, Geometry and topology of
configuration spaces, Springer Monographs in Math.,
Springer (2001) MR1802644 |
| 15 |
E Fadell, J Van
Buskirk, The
braid groups of E2 and S2, Duke
Math. J. 29 (1962) 243–257 MR0141128 |
| 16 |
R Fox, L
Neuwirth, The braid groups, Math. Scand. 10 (1962)
119–126 MR0150755 |
| 17 |
R Gillette, J Van
Buskirk, The
word problem and consequences for the braid groups and mapping
class groups of the 2-sphere, Trans. Amer. Math. Soc.
131 (1968) 277–296 MR0231894 |
| 18 |
M Golasiński,
D L Gonçalves, Spherical space
forms—homotopy types and self-equivalences, from:
"Categorical decomposition techniques in algebraic topology
(Isle of Skye, 2001)", Progr. Math. 215, Birkhäuser (2004)
153–165 MR2039764 |
| 19 |
M Golasiński,
D L Gonçalves, Spherical space
forms—homotopy types and self-equivalences for the groups
Z⁄a\rtimesZ⁄b and
Z⁄a\rtimes(Z⁄b×Q2i),
Topology Appl. 146/147 (2005) 451–470 MR2107164 |
| 20 |
M Golasiński,
D L Gonçalves, Homotopy types of orbit
spaces and their self-equivalences for the periodic groups
Z⁄a\rtimes(Z⁄b×T*n)
and
Z⁄a\rtimes(Z⁄b×O*n),
J. Homotopy Relat. Struct. 1 (2006) 29–45 MR2264736 |
| 21 |
M Golasiński,
D L Gonçalves,
Spherical space forms: homotopy types and self-equivalences for
the group
(Z⁄a\rtimesZ⁄b)\timesSL2(Fp),
Canad. Math. Bull. 50 (2007) 206–214 MR2317443 |
| 22 |
M Golasiński,
D L Gonçalves, Spherical space
forms – homotopy types and self-equivalences
for the group
(Z⁄a\rtimesZ⁄b)\timesTL2(Fp)
(2007) |
| 23 |
D L
Gonçalves, J Guaschi, The lower central and
derived series of the braid groups of the sphere, to appear
in Trans. of Amer. Math. Soc. arXiv:math/0603701 |
| 24 |
D L
Gonçalves, J Guaschi, The roots of the
full twist for surface braid groups, Math. Proc.
Cambridge Philos. Soc. 137 (2004) 307–320 MR2092062 |
| 25 |
D L
Gonçalves, J Guaschi, The braid group B
n,m(S2) and a generalisation of the
Fadell-Neuwirth short exact sequence, J. Knot Theory
Ramifications 14 (2005) 375–403 MR2149513 |
| 26 |
D L
Gonçalves, J Guaschi, The quaternion group as
a subgroup of the sphere braid groups, Bull. Lond.
Math. Soc. 39 (2007) 232–234 MR2323453 |
| 27 |
M E Hamstrom,
Homotopy groups of the space of homeomorphisms on a
2-manifold, Illinois J. Math. 10 (1966) 563–573
MR0202140 |
| 28 |
V L Hansen,
Braids and coverings: selected topics, London Math. Soc.
Student Texts 18, Cambridge University Press (1989) MR1247697
With appendices by Lars Gæ de and Hugh R Morton |
| 29 |
D L Johnson,
Presentations of groups, London Math. Soc. Lecture Notes
Series 22, Cambridge University Press (1976) MR0396763 |
| 30 |
S P Kerckhoff,
The Nielsen realization problem, Bull. Amer. Math. Soc.
(N.S.) 2 (1980) 452–454 MR561531 |
| 31 |
V Lin,
Configuration spaces of C and CP¹: some
analytic properties arXiv:math.AG/0403120 |
| 32 |
W Magnus, Über Automorphismen
von Fundamentalgruppen berandeter Flächen, Math.
Ann. 109 (1934) 617–646 MR1512913 |
| 33 |
W Magnus, A
Karrass, D Solitar, Combinatorial group
theory, Dover Publications (1976) MR0422434
Presentations of groups in terms of generators and
relations |
| 34 |
K Murasugi,
Seifert
fibre spaces and braid groups, Proc. London Math. Soc.
(3) 44 (1982) 71–84 MR642793 |
| 35 |
M H A
Newman, On a string
problem of Dirac, J. London Math. Soc. 17 (1942)
173–177 MR0008156 |
| 36 |
G P Scott,
The
space of homeomorphisms of a 2–manifold, Topology
9 (1970) 97–109 MR0264676 |
| 37 |
M Stukow, Conjugacy
classes of finite subgroups of certain mapping class
groups, Turkish J. Math. 28 (2004) 101–110 MR2062555 |
| 38 |
C B Thomas,
Elliptic structures on 3–manifolds, Lecture Notes
in Math., U. of Chicago Department of Math. (1983) MR749388 |
| 39 |
J G Thompson,
Note
on H(4), Comm. Algebra 22 (1994) 5683–5687
MR1298742 |
| 40 |
J Van Buskirk,
Braid groups of
compact 2–manifolds with elements of finite
order, Trans. Amer. Math. Soc. 122 (1966) 81–97
MR0189013 |
| 41 |
O Zariski, The topological
discriminant group of a Riemann surface of genus p,
Amer. J. Math. 59 (1937) 335–358 MR1507244 |
