J. Birman

发表

Braids, Links, and Mapping Class Groups.

J. Birman, 1975 .

Seifert and Threlfall : a textbook of topology . Seifert : topology of 3-dimensional fibered spaces

J. Birman, H. Seifert, W. Threlfall, 1980 .

TOWARDS AN IMPLEMENTATION OF THE B–H ALGORITHM FOR RECOGNIZING THE UNKNOT

P. Boldi, S. Vigna, J. Birman, 2001, math/0102177.

Knot polynomials and Vassiliev's invariants

J. Birman, Xiaoxia Lin, Xiaoxia Lin, 1993 .

Braids, Links, and Mapping Class Groups. (AM-82)

Joan S. Birman, J. Birman, 1975 .

Characteristic polynomials of pseudo-Anosov maps

J. Birman, Peter Brinkmann, Keiko Kawamuro, 2010 .

A note on closed 3-braids

J. Birman, W. Menasco, 2008, 0802.1072.

A note on transversal knots which are closed 3-braids

J. Birman, W. Menasco, 2007 .

On Finite Type Invariants of Links and Rational Homology Spheres Derived from the Jones Polynomial and Witten-Reshetikhin-Turaev Invariant

J. Birman, H. Morton, P. Melvin, 1996 .

A Note on Closed 3-braids * Dedicated to the Memory of Xiao-song Lin

J. Birman, W. Menasco, 2008 .

G T ] 3 M ar 1 99 9 A NEW ALGORITHM FOR RECOGNIZING THE UNKNOT

J. Birman, 2008 .

A new approach to the word and conjugacy problems in the braid groups

J. Birman, K. Ko, Sangjin Lee, 1997, math/9712211.

Braids: A Survey

J. Birman, Tara E. Brendle, 2004, math/0409205.

New points of view in knot theory

J. Birman, 1993, math/9304209.

On the Burau representation of $B_3$

J. Birman, Vasudha Bharathram, 2022, 2208.12378.

Heegaard splittings of prime $3$-manifolds are not unique.

J. Birman, J. Montesinos, F. G. na, 1976 .

On the Mapping Class Group of Closed Surfaces as Covering Spaces

H. Hilden, J. Birman, 1971 .

Automorphisms of the fundamental group of a closed, orientable 2-manifold

J. Birman, 1969 .

Stabilization in the braid groups I: MTWS

J. Birman, W. Menasco, 2003, math/0310279.

Stabilization in the Braid Groups (with applications to transverse knots)

J. Birman, W. Menasco, 2002, math/0203227.

TOWARDS AN IMPLEMENTATION OF THE B–H ALGORITHM FOR RECOGNIZING THE UNKNOT

P. Boldi, S. Vigna, J. Birman, 2001, math/0102177.

A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds

J. Birman, 1972 .

The mathematics of Lorenz knots

J. Birman, 2013 .

Conjugacy in Garside groups III: Periodic braids

J. Birman, J. González-Meneses, V. Gebhardt, 2006, math/0609616.

Mapping class groups and their relationship to braid groups

J. Birman, 1969 .

Braids, link polynomials and a new algebra

Joan S. Birman, Hans Wenzl, J. Birman, 1989 .

Braids, links, and mapping class groups : based on lecture notes by James Cannon

J. Birman, 1975 .

Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin's braid group

H. Hilden, J. Birman, 1972 .

Finite-Dimensional Representations of Artin's Braid Group

J. Birman, J. Moody, D. Long, 1994 .

Braids

J. Birman, Emmanuel Graff, 2021, A Gentle Introduction to Knots, Links and Braids.

Markov classes in certain finite quotients of artin’s braid group

J. Birman, B. Wajnryb, 1986 .

On the Singular Braid Monoid

J. Birman, 2003 .

The -invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2-manifold

J. Birman, R. Craggs, 1978 .

Poincare's conjecture and the homeotopy group of a closed, orientable 2-manifold

J. Birman, 1974, Journal of the Australian Mathematical Society.

On Siegel's modular group

J. Birman, 1971 .

Cubulations mod bubble moves

J. Birman, N. Habegger, C. Blanchet, 2022 .

2 1 O ct 2 00 3 Table of Contents for the Handbook of Knot Theory

M. Thistlethwaite, C. Adams, Greg Friedman, 2003 .

The braid groups, knots and algebraic geometry

M. Teicher, J. Birman, 1997 .

Fixed points of pseudo-Anosov diffeomorphisms of surfaces

J. Birman, M. Kidwell, 1982 .

An inverse function theorem for free groups

J. Birman, 1973 .

Knotted periodic orbits in dynamical systems—I: Lorenz's equation

Joan S. Birman, R. F. Williams, J. Birman, 1983 .

Studying links via closed braids. III. Classifying links which are closed 3-braids

J. Birman, W. Menasco, 1993 .

On the homeotopy group of a non-orientable surface

D. Chillingworth, J. Birman, 1972, Mathematical Proceedings of the Cambridge Philosophical Society.

POLYNOMIAL INVARIANTS OF PSEUDO-ANOSOV MAPS

J. Birman, Peter Brinkmann, Keiko Kawamuro, 2010, 1001.5094.

ON THE EQUIVALENCE OF HEEGAARD SPLITTINGS OF CLOSED, ORIENT ABLE 3-MANIFOLDS

J. Birman, 1975 .

Geodesics with bounded intersection number on surfaces are sparsely distributed

Joan S. Birman, Caroline Series, J. Birman, 1985 .

On the Stable Equivalence of Plat Representations of Knots and Links

Joan S. Birman, J. Birman, 1976, Canadian Journal of Mathematics.

Heegaard splittings of branched coverings of

H. Hilden, J. Birman, 1975 .

One-Sided Heegaard Splittings and Homeotopy Groups of Some 3-Manifolds

J. Birman, J. Rubinstein, 1984 .

Jones’ braid-plat formula and a new surgery triple

J. Birman, T. Kanenobu, 1988 .

STUDYING LINKS VIA CLOSED BRAIDS I

J. Birman, W. Menasco, 1992 .

ON THE COMBINATORICS OF VASSILIEV INVARIANTS

J. Birman, 1994 .

The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold

J. Birman, 2005, math/0502545.

Special positions for essential Tori in link complements

J. Birman, W. Menasco, 1994 .

On braid groups

J. Birman, 1969 .

Finite rigid sets and homologically non-trivial spheres in the curve complex of a surface

J. Birman, W. Menasco, N. Broaddus, 2013, 1311.7646.

Abelian and solvable subgroups of the mapping class groups

Alexander Lubotzky, John E. McCarthy, Joan S. Birman, 1983 .

STUDYING SURFACES VIA CLOSED BRAIDS

J. Birman, Elizabeth Finkelstein, 1998, math/9804028.

Lifting and projecting homeomorphisms

Joan S. Birman, Hugh M. Hilden, H. Hilden, 1972 .

On the homeotopy group of a non-orientable surface

D. Chillingworth, J. Birman, 2004, Mathematical Proceedings of the Cambridge Philosophical Society.

Mapping class groups of surfaces

J. Birman, 1988 .

3-fold branched coverings and the mapping class group of a surface

J. Birman, B. Wajnryb, 1985 .

Errata: Presentations of the mapping class group

J. Birman, B. Wajnryb, 1994 .

SPECIAL REPRESENTATIONS FOR 3-MANIFOLDS

J. Birman, J. Powell, 1979 .

On transversally simple knots

Nancy C. Wrinkle, J. Birman, 1999, math/9910170.

A pr 2 00 1 On transversally simple knots

Nancy C. Wrinkle, J. Birman, 1999 .

STUDYING LINKS VIA CLOSED BRAIDS I: A FINITENESS THEOREM

Joan S. Birman, William W. Menasco, J. Birman, 1992 .

Studying links via closed braids. V. The unlink

J. Birman, W. Menasco, 1992 .

Studying links via closed braids II: On a theorem of Bennequin

J. Birman, W. Menasco, 1991 .

DEHN’S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES

Joan S. Birman, Caroline Series, J. Birman, 1987 .

A new twist on Lorenz links

J. Birman, I. Kofman, 2007, 0707.4331.

Lorenz knots, T-links and twisted torus links

J. Birman, I. Kofman, 2007 .

The homeomorphism problem for $S^3$

Joan S. Birman, Hugh M. Hilden, H. Hilden, 1973 .

Symplectic Heegaard splittings and linked abelian groups

J. Birman, Andrew Putman, Dennis Johnson, 2007, 0712.2104.

Conjugacy in Garside groups I: cyclings, powers and rigidity

J. Birman, J. González-Meneses, V. Gebhardt, 2006, math/0605230.

An Algorithm for Simple Curves on Surfaces

J. Birman, C. Series, 1984 .

Stabilization in the braid groups II: Transversal simplicity of knots

J. Birman, W. Menasco, 2003, math/0310280.

STABILIZATION IN THE BRAID GROUPS

J. Birman, W. Menasco, 2002 .

A representation theorem for fibered knots and their monodromy maps

J. Birman, 1979 .

On the Jones polynomial of closed 3-braids

J. Birman, 1985 .

On the $\mu$-invariant of $Z$-homology 3-spheres

J. Birman, R. Craggs, 1976 .

IE y-I OF 3-OLDS CERTAIN STRUCIIJRAL PROPERTIES OF THE GROUP OF HO1\vIEOMORPHISMS OF A CLOSED, ORIENTED 2-MANIFOLD

J. Birman, R. Craggs, 2016 .

Automorphisms of the fundamental group of a closed, orientable 2-manifold

J. Birman, 1969 .

Holonomic and Legendrian parametrizations of knots

Nancy C. Wrinkle, J. Birman, 1998, math/9810026.

Studying links via closed braids IV: composite links and split links

J. Birman, W. Menasco, 1990, math/0407403.

Erratum: Special positions for essential tori in link complements (Topology 33 (3) (1994) pp. 525–556)

J. Birman, W. Menasco, 1998 .

BRAIDS, KNOTS AND CONTACT STRUCTURES

J. Birman, 2004, math/0403489.

ON MARKOV'S THEOREM

J. Birman, W. Menasco, 2002, math/0202186.

A new algorithm for recognizing the unknot

M. D. Hirsch, J. Birman, 1998, math/9801126.

STUDYING LINKS VIA CLOSED BRAIDS VI : A NON-FINITENESS THEOREM

J. Birman, W. Menasco, 1992 .

Abelian quotients of the mapping class group of a 2-manifold

J. Birman, 1970 .

The Mathematics of Joan Birman Dan Margalit

J. Birman, D. Margalit, 2019 .

Efficient geodesics and an effective algorithm for distance in the complex of curves

J. Birman, W. Menasco, Dany Margalit, 2016, Mathematische Annalen.

Efficient geodesics and an effective algorithm for distance in the complex of curves

Joan Birman, William Menasco, Dan Margalit, 2014, 1408.4133.

Obstructions to trivializing a knot

J. Birman, J. Moody, 2002, math/0206283.

2 6 Ju n 20 02 OBSTRUCTIONS TO TRIVIALIZING A KNOT

J. Birman, J. Moody, 2002 .

Non‐conjugate braids can define isotopic knots

J. Birman, 1969 .

The Infimum, Supremum, and Geodesic Length of a Braid Conjugacy Class

J. Birman, K. Ko, Sang Jin Lee, 2000, math/0003125.

Studying links via closed braids IV: composite links and split links

J. Birman, W. Menasco, 1990 .

G T ] 2 9 Ju n 20 10 A polynomial invariant of pseudo-Anosov maps

J. Birman, Peter Brinkmann, Keiko Kawamuro, 2010 .

G T ] 2 2 Fe b 20 07 Conjugacy in Garside Groups III : Periodic braids

J. Birman, J. González-Meneses, V. Gebhardt, 2008 .

Algebra, Topology and the discoveries of Vaughan Jones

J. Birman, 2023, Journal of Knot Theory and Its Ramifications.

The work of Jones

J. Birman, 2022, 2210.01920.

Table of Contents for the Handbook of Knot Theory

M. Thistlethwaite, J. Birman, W. Menasco, 2003 .

N ov 2 00 4 Table of Contents for the Handbook of Knot Theory

M. Thistlethwaite, J. Birman, W. Menasco, 2004 .

Table of Contents for the Handbook of Knot Theory

M. Thistlethwaite, J. Birman, W. Menasco, 2004 .

N ov 2 00 4 Table of Contents for the Handbook of Knot Theory

M. Thistlethwaite, J. Birman, W. Menasco, 2004 .

A calculus on links in the 3-sphere

J. Birman, W. Menasco, 1992 .

Braids, link polynomials and a new algebra

J. Birman, H. Wenzl, 1989 .

On the Burau representation of $B_3$

J. Birman, Vasudha Bharathram, 2022, 2208.12378.

G T ] 2 1 Se p 20 06 Conjugacy in Garside Groups III : Periodic braids

J. Birman, J. González-Meneses, V. Gebhardt, 2008 .

2 3 O ct 2 00 4 Table of Contents for the Handbook of Knot Theory

M. Thistlethwaite, J. Birman, W. Menasco, 2004 .

Conjugacy in Garside groups II: structure of the ultra summit set

J. Birman, J. González-Meneses, V. Gebhardt, 2006, math/0606652.

Conjugacy in Garside groups I: cyclings, powers and rigidity

Volker Gebhardt, Joan S. Birman, J. Birman, 2006, math/0605230.

Memories of Vaughan Jones

A. Guionnet, D. Shlyakhtenko, S. Popa, 2021, Notices of the American Mathematical Society.

THE WORK OF VAUGHAN F. R. JONES

J. Birman, 1997 .

HYPERBOLIC KNOTS

M. Thistlethwaite, C. Adams, J. Birman, 2003 .