Warren Dicks and Edward Formanek,
Algebraic mapping-class groups of orientable surfaces
with boundaries.
pp. 57-115, in: Infinite
groups : geometric, combinatorial
and dynamical aspects
(Editors: Laurent Bartholdi, Tullio
Ceccherini-Silberstein, Tatiana Smirnova-Nagnibeda,
Andrzej Zuk),
Progress in Mathematics 248,
Birkhäuser Verlag, Basel, Switzerland, 2005.
ERRATA
Abstract, and throughout. The term "Mess's exact sequence" should
probably be "Johnson's
exact sequence". See Addenda, page 60, 16th last line.
Page 72, before line 1. Insert "an algebraic proof was given by McCool [21];".
Page 75, right hand side of display (6.4.1). One of the alphas and one of the betas should be interchanged.
Page 98, last line. Change " \Sigma_{0,0,(2g+2)^2}" to "
\Sigma_{0,0,(2g+2)^(2)}" .
ADDENDA
Page 60, 16th last line . At the moment, the earliest reference
we have found to the fact that,
for (g,b,0), the unit-tangent-bundle sequence is exact, is Lemma 3 of
Dennis Johnson, The structure of the Torelli group. I. A
finite set of generators for ${\cal I}$.
Ann. of Math. (2) 118 (1983), 423-442.
Page 82, Theorem 9.6. At the moment, the earliest reference
we have found to the fact that,
for a surface with nonempty boundary, the algebraic mapping class
group agrees with the
topological mapping class group, is on p.30 of
Norbert A'Campo,
Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I.
Math. Ann. 213 (1975), 1–32.
Page 98. The penultimate sentence of Notation 15.4 says
The latter map can be shown to be an isomorphism by using topological arguments.
In the case where (g,b) = (0,1), algebraic arguments have been found.
Surjectivity was proved algebraically by Steve Humphries (unpublished).
Injectivity was proved algebraically in Section 4 of
John Crisp and Luis Paris,
Representations of the braid group by automorphisms of groups, invariants of links,
and Garside groups,
Pacific J. Math., 221(2005), 1-27.
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