**Downloadable publications of Joan S. Birman, March
2014**

"Braids, Links and Mapping Class Groups", Annals of
Math Studies **82 **, Princeton Univ.Press 1975. Erratum.

"On
braid groups" , Com.Pure and Applied Mathematics,
**22** No. 1 (1969), 212-238.

"On
Siegel's modular group", Math. Annalen**191**
(1971), 59-68.

"On the homeotopy group of a non-orientable surface"
(with D.R.J.Chillingworth), Proc.Camb.Phil.Soc.**71** (1972),
437-448. (Erratum)

"Isotopies
of homeomorphisms of Riemann surfaces and a theorem about
Artin's braid group" (with
H.M.Hilden), Bull. AMS **78 (1972).1002-1004.**

**"On
isotopies of homeomorphisms of Riemann surfaces"****,(with
H.M. Hilden),Annals of Math.(2), 97 (1973), 424-439.**

**"Lifting
and projecting homeomorphisms"****,(with H.M.
Hilden),Archiv der Mathematik, XXIII (4) (1972), 428-434.**

**"An
inverse function theorem for free groups"****, Proc. AMS 41 No. 2, (1973), 634-638.**

**"Heegaard
splittings of branched coverings of S^3 ", ****(with H.M. Hilden), Trans. AMS 213, (1975),
315-352.**

**"Heegaard
splittings of prime 3-manifolds are not unique", ****(with
F. Gonzalez-Acuna, J. Montesinos), Michigan Mathematica Journal
23, No. 2, (1976), 97-103.**

**"The
mu-invariant of 3-manifolds and certain structural
properties of the group of homeomorphisms of a closed,
oriented 2-manifold"****,
(with Robert Craggs), Trans. AMS 237 (1978), 283-309.**

**"Special
Heegaard splittings for closed oriented 3-maniofolds" ****, Topology 17 (1978), 157 - 166.**

**"On
minimal Heegaard splittings" ****, Michigan
Math. J. 27 (1980), 47-57.**

**"Knotted
periodic orbits in dynamical systems-I: Lorenz's equations"
****, (with R.F.Williams),
Topology 22 , No. 1 (1983), 47 - 82. (****Erratum****)**

**"Abelian
and solvable subgroups of mapping class groups of surfaces"****,
(with A. Lubotzky and J. McCarthy), Duke Mathematics Journal 50
, No 4 (1984),1107-1120.**

**"On
the Jones polynomial of closed 3-braids"****, Invent. math. 81 (1985), 287-294.**

**"An
algorithm for simple curves on surfaces",****
(with C. Series), J.London Math Soc. (2) 29 \ (1984), 331-342.**

**"Geodesics
with bounded intersection number on surfaces are sparsely
distributed", ****(with
Caroline Series), Topology 24 (1985), 217-225.**

**"Markov
classes in certain finte quotients of Artin's braid group",
****(with Bronislaw Wajnryb), Israel J.
Mathematics 56 (1986), No. 2, 160-178.**

**"Algebraic
linearity in the mapping class group of a surface",****
(with C. Series), J. of Pure and Applied Algebra 52 (1988),
227-275.**

**"Jones'
braid-plat formula and a new surgery triple",****
(with T. Kanenobu), Proc. AMS 102, No. 3, (1988), 687-695.**

**"Braids,
link polynomials and a new algebra",**** (with
Hans Wenzl), Trans. AMS 313, No 1, (1989), 249-273.**

**''Studying
links via closed braids I:A finiteness theorem"****(with
William W. Menasco, Pacific Journal of Mathematics 134 (1992),
pages 17-36.**

**''Studying
links via closed braids II:On a theorem of Bennequin"****
(with William W. Menasco), Topology and its Applications 140
(1991), pages 71-82.**

**''Studying
links via closed braids III:Classifying links that are
closed 3-braids"**** (with William W.
Menasco), Pacific Journal of Mathematics 161 (1993), pages
25-115.**

**''Studying
links via closed braids IV:composite and split links"****
(with William W. Menasco),Invent.math.102 (1990), pages 115-139.
(**** "Erratum"****, Inv.math.160,No. 2
(2005), 447-452.)**

**''Studying
links via closed braids V:the unlink", ****(with
William W. Menasco), Trans. AMS 326, No. 2 (1992), 585-606.**

**''Studying
links via closed braids VI:a non-finiteness theorem",****(with
William W. Menasco, Pacific Journal of Mathematics, 156, No. 2,
(1992), 265-285.**

**``Special
positions for essential tori in link complements", ****(with W. Menasco), Topology 33 (1994),
525-556. Erratum**

**"Knot
polynomials and Vassiliev's Invariants", ****(with
Xiao-Song Lin), Inventiones Mathematica 111
(1993),225-270.**

**"New
points of view on knots and links",**** Bull.AMS / 28, No. 2 (1993), 253- 287.**

**"Linear
representations of the braid group"**** (with
D. Long and J. Moody), Contemporary Mathematics 169,
(1994), 123-132**

**"Braided
chord diagrams"**** (with Rolland Trapp), Journal
of Knot Theory and its Ramifications, 7, No.1 (1998),
1-22.**

**"Studying
surfaces via closed braids"**** (with
Elizabeth Finkelstein), Journal of Knot Theory and its
Ramifications, 7, No.3 (1998), 267-334.**

**"A
new approach to the word and conjugacy problems in the braid
groups"**** (with J.S.Lee and K.H.Ko), Advances
in Mathematics, 139, No. 2 (1998), 322-353.**

**"A
new algorithm for recognizing the unknot"****
(with Michael Hirsch), Geometry and Topology,
Vol.2(1998), 178-220.**

**"Holonomic
and Legendrian parametrizations of knots"****
(with Nancy Wrinkle), Journal of Knot Theory and its
Ramifications, 9, No. 3 (2000),293-309.**

**"On
transversally simple knots"**** (with Nancy
Wrinkle), J. Differential Geometry, Volume 55, No. 2 (2000),
325-354.**

**"The
infimum, supremum and geodeisc length of a braid conjugacy
class"**** (with Ki Hyoung Ko and Sang Jin
Lee), Advances in Mathematics, Volume 164 (2001), 41-56.**

**"Scientific
Publishing: A Mathematician's Viewpoint",****,
Notices of the AMS, Vol. 47, No. 7 (August 2000), 770-774.**

**"On
Markov's theorem"**** (with William Menasco),
Prodeedings KNOTS-2000, J. of Knot Theory, Volume 11, No. 3
(2002), 295-310.**

**"Towards
an implementation of the B-H algorithm for recognizing the
unknot"**** (with P. Boldi, M. Rampichini and
S. Vigna),Journal of Knot Theory, Volume 11, Number 4 (2002),
601-645.**

**"Stabilization
in the braid groups I:MTWS"**** (with William
Menasco), Geometry and Topology, Volume 10 (2006), 413-540.**

**"Stabilization
in the braid groups II:transversal simplicity of transverse
knots"**** (with William
Menasco), Geometry and Topology, Volume 10 (2006), 1425-1452.**

**"Obstructions
to trivializing a knot"**** (with John Moody),
Israel Journal of Mathematics, Volume 142 (2004), 125-162.**

**"Braids,
knots and contact structures" ****Lecture
notes relating to a talk given at the First East Asian
Conference on Knots and Related Topics, in Seoul, Korea,
February 2004.**

**"Braids:
A Survey" ****(with Tara Brendle), in
"Handbook of Knot Theory", editors W. Menasco and M.
Thistlethwaite, Elsevier 2006.**

**"The
topology of 3-manifolds, Heegaard distance and the mapping
class group of a 2-manifold" ****, in
"Problems on mapping class groups and related topics", Editor
Benson Farb, Proc.Symposia Pure Mathematics Volume 74
(2006),133-149, Amer.Math.Soc., arXiv:math/GT0502545**

**"Conjugacy
in Garside Groups I:Cycling, Powers and Rigidity" ****(with
V. Gebhardt and J. Gonzalez-Meneses), Groups, Geometry and
Dynamics, Volume 1, No. 3 (2007), 221-279. arXiv:math.GT/0605230**

**"Conjugacy
in Garside groups II:Structure of the Ultra Summit Set" ****(with
V. Gebhardt and J. Gonzalez-Meneses), Groups,Geometry and
Dynamics, Volume 2, N0.1 (2008), 13-61. arXiv:math.GT/0606652.**

**"Conjugacy
in Garside groups III:periodic braids" ****(with
V. Gebhardt and J. Gonzalez-Meneses), Journal of Algebra, Volume
316 (2007), 246-276. arXiv:math.GT/0609616.**

**"A
note on closed 3-braids" ****(with William W.
Menasco), Communication on Contemporary Mathematics 10 Supp 1
(2008),1-15.**

**"Calculating
the image of the second Johnson-Morita representation" ****(with
Tara Brendle and Nathan Broaddus), "Groups of Diffeomorphisms",
Advanced Studies in Pure Mathematics, Math Society of Japan. 52
(2008),119-134.**

**"Symplectic
Heegaard splittings and linked abelian groups" ****(with
Dennis Johnson and Andrew Putman), "Groups of Diffeomorphisms,
Advanced Studies in Pure Mathematics 52 (2008), 135-220.**

**"A
new twist on Lorenz links" ****(with Ilya
Kofman), Journal of Topology 2 (2009), 227-248.**

**"Characteristic
polynomials of pseudo-Anosov maps" ****(with
Peter Brinkmann and Keiko Kawamuro), Journal of Topology and
Analysis, 04 (2012), 3-47.**

**"Finite
rigid sets and homologically non-trivial spheres in the
curve complex of a surface"**** (with Nathan
Broaddus and William Menasco), preprint arXiv:1311.7646v2
[math:GT] 15 Jan 2014.**

**"The
curve complex has dead-ends"****(with William
W.Menasco), Geometria Dedicata, DOI 10.1007/s10711-014-9978-y,
arXiv:1210.6698v3 [math.GT]10 Apr 2014.**

**"Erra****tum:
On isotopies of homeomorphisms of Riemann surfaces"**** (with H.M.Hilden), Annals of Mathematics,
Volume Page 1.**