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Birman, Joan S.

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Author ID: birman.joan-s Recent zbMATH articles by "Birman, Joan S."
Published as: Birman, J.; Birman, J. S.; Birman, Joan; Birman, Joan S.
Homepage: https://www.math.columbia.edu/~jb/
External Links: Women in Mathematics · MGP · Wikidata · Celebratio Mathematica · GND · MacTutor
Documents Indexed: 104 Publications since 1969, including 5 Books
Biographic References: 7 Publications

Publications by Year

Citations contained in zbMATH

87 Publications have been cited 2,024 times in 1,459 Documents Cited by Year
Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013
Birman, Joan S.
198
1975
A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016
Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin
126
1998
Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011
Birman, Joan S.; Lin, Xiao-Song
124
1993
Braids, link polynomials and a new algebra. Zbl 0684.57004
Birman, Joan S.; Wenzl, Hans
119
1989
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
105
1983
New points of view in knot theory. Zbl 0785.57001
Birman, Joan S.
101
1993
Mapping class groups of surfaces: a survey. Zbl 0297.57001
Birman, Joan S.
85
1974
Mapping class groups and their relationship to braid groups. Zbl 0167.21503
Birman, J. S.
79
1969
Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004
Birman, Joan S.; Lubotzky, Alex; McCarthy, John
75
1983
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
57
1983
Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010
Birman, Joan S.; Menasco, William W.
51
1993
On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602
Birman, J. S.; Hilden, H. M.
48
1971
On braid groups. Zbl 0157.30904
Birman, Joan S.
48
1969
On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001
Birman, Joan S.; Hilden, Hugh M.
47
1973
Heegaard splittings of branched coverings of \(S^3\). Zbl 0312.55004
Birman, Joan S.; Hilden, Hugh M.
35
1975
Studying links via closed braids. IV: Composite links and split links. Zbl 0711.57006
Birman, Joan S.; Menasco, William W.
34
1990
On Siegel’s modular group. Zbl 0208.10601
Birman, J. S.
31
1971
Braids: a survey. Zbl 1094.57006
Birman, Joan S.; Brendle, Tara E.
28
2005
Studying links via closed braids. V: The unlink. Zbl 0758.57005
Birman, Joan S.; Menasco, William W.
27
1992
Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006
Birman, Joan S.; Series, Caroline
27
1985
Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005
Birman, Joan S.; Menasco, William W.
26
2006
An inverse function theorem for free groups. Zbl 0274.20032
Birman, Joan S.
25
1973
The \(\mu\)-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2-manifold. Zbl 0383.57006
Birman, Joan S.; Craggs, R.
24
1978
Conjugacy in Garside groups. I: Cyclings, powers and rigidity. Zbl 1160.20026
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
23
2007
Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
21
2007
Special positions for essential tori in link complements. Zbl 0833.57004
Birman, Joan S.; Menasco, William W.
21
1994
On the Jones polynomial of closed 3-braids. Zbl 0588.57005
Birman, Joan S.
21
1985
On the stable equivalence of plat representations of knots and links. Zbl 0339.55005
Birman, Joan S.
21
1976
On the homeotopy group of a non-orientable surface. Zbl 0232.57001
Birman, Joan S.; Chillingworth, D. R. J.
21
1972
Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004
Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María
20
1976
The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039
Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin
18
2001
Studying surfaces via closed braids. Zbl 0907.57006
Birman, Joan S.; Finkelstein, Elizabeth
18
1998
Stabilization in the braid groups. I: MTWS. Zbl 1128.57003
Birman, Joan S.; Menasco, William W.
17
2006
Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002
Birman, Joan S.; Menasco, William W.
16
1992
On transversally simple knots. Zbl 1026.57005
Birman, Joan S.; Wrinkle, Nancy C.
15
2000
A new algorithm for recognizing the unknot. Zbl 0955.57005
Birman, Joan S.; Hirsch, Michael D.
14
1998
Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001
Birman, Joan S.; Menasco, William W.
14
1992
Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023
Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan
13
2008
An algorithm for simple curves on surfaces. Zbl 0507.57006
Birman, Joan S.; Series, Caroline
13
1984
Lifting and projecting homeomorphisms. Zbl 0247.55001
Birman, Joan S.; Hilden, Hugh M.
13
1972
A note on closed 3-braids. Zbl 1158.57006
Birman, Joan S.; Menasco, William W.
12
2008
A new twist on Lorenz links. Zbl 1233.57001
Birman, Joan; Kofman, Ilya
11
2009
Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001
Birman, Joan S.; Menasco, William W.
11
1991
Mapping class groups of surfaces. Zbl 0663.57008
Birman, Joan S.
8
1988
On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002
Birman, Joan S.
8
1975
The homeomorphism problem for S\(^3\). Zbl 0272.57001
Birman, Joan S.; Hilden, Hugh M.
8
1973
Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103
Birman, J. S.
8
1969
Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007
Birman, Joan S.; Series, Caroline
7
1988
Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001
Birman, Joan S.; Kidwell, Mark E.
7
1982
Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022
Birman, Joan; Margalit, Dan; Menasco, William
6
2016
The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033
Birman, Joan S.
6
2006
On Markov’s theorem. Zbl 1059.57002
Birman, Joan S.; Menasco, William W.
6
2002
Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007
Birman, Joan S.; Kanenobu, Taizo
6
1988
One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003
Rubinstein, J. H.; Birman, J. S.
6
1984
Errata: Presentations of the mapping class group. Zbl 0811.57019
Birman, Joan S.; Wajnryb, Bronislaw
5
1994
Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035
Birman, J. S.; Long, D. D.; Moody, J. A.
5
1994
Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025
Birman, Joan S.; Wajnryb, Bronislaw
5
1986
On minimal Heegaard splittings. Zbl 0436.57003
Birman, Joan S.; Montesinos, José María
5
1980
Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003
Birman, Joan S.
5
1974
Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002
Birman, Joan S.; Hilden, Hugh M.
5
1972
Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053
Birman, Joan S.; Hilden, Hugh M.
4
2017
Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009
Birman, Joan; Broaddus, Nathan; Menasco, William
4
2015
Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015
Birman, Joan S.; Wrinkle, Nancy C.
4
2000
Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033
Birman, Joan S.; Series, Caroline
4
1987
3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009
Birman, Joan S.; Wajnryb, Bronislaw
4
1985
Plat presentations for link groups. Zbl 0266.20027
Birman, Joan S.
4
1973
Abelian quotients of the mapping class group of a 2-manifold. Zbl 0191.22401
Birman, J. S.
4
1970
The curve complex has dead ends. Zbl 1335.57031
Birman, Joan S.; Menasco, William W.
3
2015
Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002
Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko
3
2012
Recent developments in braid and link theory. Zbl 0713.57002
Birman, Joan S.
3
1991
A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds. Zbl 0253.55001
Birman, Joan S.
3
1972
Non-conjugate braids can define isotopic knots. Zbl 0187.45502
Birman, J. S.
3
1969
Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016
Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan
2
2008
Towards an implementation of the B-H algorithm for recognizing the unknot. Zbl 1007.57004
Birman, Joan S.; Rampichini, Marta; Boldi, Paolo; Vigna, Sebastiano
2
2002
Braided chord diagrams. Zbl 0896.57003
Birman, Joan S.; Trapp, Rolland
2
1998
Studying links via closed braids. Zbl 0835.57002
Birman, Joan
2
1994
On the combinatorics of Vassiliev invariants. Zbl 0938.57004
Birman, Joan S.
2
1994
Braids. Proceedings of the AMS-IMS-SIAM joint summer research conference on Artin’s braid group, University of California, Santa Cruz, CA, USA, July 13–26, 1986. Zbl 0651.00010
Birman, Joan S. (ed.); Libgober, Anatoly (ed.)
2
1988
Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001
Birman, J. S.
2
1971
Book review of: Christian Kassel and Vladimir Turaev, Braid groups; Patrick Dehornoy, Ivan Dynnikov, Dale Rolfsen and Bert Wiest, Ordering braids. Zbl 1292.00013
Birman, Joan S.
1
2011
Obstructions to trivializing a knot. Zbl 1074.57002
Birman, Joan S.; Moody, John Atwell
1
2004
Knots 2000 Korea. Vol. 2. Proceedings of the conference held jointly with the 8th Korea-Japan school of knots and links in Yongpyong, Korea, July 31–August 5, 2000. Zbl 0995.00511
Birman, J. S. (ed.); Gordon, C. McA. (ed.); Jin, G. T. (ed.); Kauffman, L. H. (ed.); Kawauchi, A. (ed.); Ko, K. H. (ed.); Levine, J. P. (ed.); Matsumoto, Y. (ed.)
1
2002
The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Zbl 0801.00023
Abikoff, William (ed.); Birman, Joan S. (ed.); Kuiken, Kathryn (ed.)
1
1994
A representation theorem for fibered knots and their monodromy maps. Zbl 0406.57004
Birman, Joan S.
1
1979
Sepcial Heegaard splittings for closed, oriented 3-manifolds. Zbl 0412.57009
Birman, Joan S.
1
1978
A note on the construction of simply-connected 3-manifolds as branched covering spaces of \(S^3\). Zbl 0325.55003
Birman, Joan S.
1
1976
Discriminant and projective invariants of binary forms. Zbl 0189.55002
Birman, J.; Magnus, W.
1
1970
Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053
Birman, Joan S.; Hilden, Hugh M.
4
2017
Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022
Birman, Joan; Margalit, Dan; Menasco, William
6
2016
Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009
Birman, Joan; Broaddus, Nathan; Menasco, William
4
2015
The curve complex has dead ends. Zbl 1335.57031
Birman, Joan S.; Menasco, William W.
3
2015
Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002
Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko
3
2012
Book review of: Christian Kassel and Vladimir Turaev, Braid groups; Patrick Dehornoy, Ivan Dynnikov, Dale Rolfsen and Bert Wiest, Ordering braids. Zbl 1292.00013
Birman, Joan S.
1
2011
A new twist on Lorenz links. Zbl 1233.57001
Birman, Joan; Kofman, Ilya
11
2009
Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023
Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan
13
2008
A note on closed 3-braids. Zbl 1158.57006
Birman, Joan S.; Menasco, William W.
12
2008
Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016
Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan
2
2008
Conjugacy in Garside groups. I: Cyclings, powers and rigidity. Zbl 1160.20026
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
23
2007
Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
21
2007
Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005
Birman, Joan S.; Menasco, William W.
26
2006
Stabilization in the braid groups. I: MTWS. Zbl 1128.57003
Birman, Joan S.; Menasco, William W.
17
2006
The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033
Birman, Joan S.
6
2006
Braids: a survey. Zbl 1094.57006
Birman, Joan S.; Brendle, Tara E.
28
2005
Obstructions to trivializing a knot. Zbl 1074.57002
Birman, Joan S.; Moody, John Atwell
1
2004
On Markov’s theorem. Zbl 1059.57002
Birman, Joan S.; Menasco, William W.
6
2002
Towards an implementation of the B-H algorithm for recognizing the unknot. Zbl 1007.57004
Birman, Joan S.; Rampichini, Marta; Boldi, Paolo; Vigna, Sebastiano
2
2002
Knots 2000 Korea. Vol. 2. Proceedings of the conference held jointly with the 8th Korea-Japan school of knots and links in Yongpyong, Korea, July 31–August 5, 2000. Zbl 0995.00511
Birman, J. S. (ed.); Gordon, C. McA. (ed.); Jin, G. T. (ed.); Kauffman, L. H. (ed.); Kawauchi, A. (ed.); Ko, K. H. (ed.); Levine, J. P. (ed.); Matsumoto, Y. (ed.)
1
2002
The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039
Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin
18
2001
On transversally simple knots. Zbl 1026.57005
Birman, Joan S.; Wrinkle, Nancy C.
15
2000
Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015
Birman, Joan S.; Wrinkle, Nancy C.
4
2000
A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016
Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin
126
1998
Studying surfaces via closed braids. Zbl 0907.57006
Birman, Joan S.; Finkelstein, Elizabeth
18
1998
A new algorithm for recognizing the unknot. Zbl 0955.57005
Birman, Joan S.; Hirsch, Michael D.
14
1998
Braided chord diagrams. Zbl 0896.57003
Birman, Joan S.; Trapp, Rolland
2
1998
Special positions for essential tori in link complements. Zbl 0833.57004
Birman, Joan S.; Menasco, William W.
21
1994
Errata: Presentations of the mapping class group. Zbl 0811.57019
Birman, Joan S.; Wajnryb, Bronislaw
5
1994
Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035
Birman, J. S.; Long, D. D.; Moody, J. A.
5
1994
Studying links via closed braids. Zbl 0835.57002
Birman, Joan
2
1994
On the combinatorics of Vassiliev invariants. Zbl 0938.57004
Birman, Joan S.
2
1994
The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Zbl 0801.00023
Abikoff, William (ed.); Birman, Joan S. (ed.); Kuiken, Kathryn (ed.)
1
1994
Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011
Birman, Joan S.; Lin, Xiao-Song
124
1993
New points of view in knot theory. Zbl 0785.57001
Birman, Joan S.
101
1993
Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010
Birman, Joan S.; Menasco, William W.
51
1993
Studying links via closed braids. V: The unlink. Zbl 0758.57005
Birman, Joan S.; Menasco, William W.
27
1992
Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002
Birman, Joan S.; Menasco, William W.
16
1992
Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001
Birman, Joan S.; Menasco, William W.
14
1992
Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001
Birman, Joan S.; Menasco, William W.
11
1991
Recent developments in braid and link theory. Zbl 0713.57002
Birman, Joan S.
3
1991
Studying links via closed braids. IV: Composite links and split links. Zbl 0711.57006
Birman, Joan S.; Menasco, William W.
34
1990
Braids, link polynomials and a new algebra. Zbl 0684.57004
Birman, Joan S.; Wenzl, Hans
119
1989
Mapping class groups of surfaces. Zbl 0663.57008
Birman, Joan S.
8
1988
Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007
Birman, Joan S.; Series, Caroline
7
1988
Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007
Birman, Joan S.; Kanenobu, Taizo
6
1988
Braids. Proceedings of the AMS-IMS-SIAM joint summer research conference on Artin’s braid group, University of California, Santa Cruz, CA, USA, July 13–26, 1986. Zbl 0651.00010
Birman, Joan S. (ed.); Libgober, Anatoly (ed.)
2
1988
Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033
Birman, Joan S.; Series, Caroline
4
1987
Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025
Birman, Joan S.; Wajnryb, Bronislaw
5
1986
Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006
Birman, Joan S.; Series, Caroline
27
1985
On the Jones polynomial of closed 3-braids. Zbl 0588.57005
Birman, Joan S.
21
1985
3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009
Birman, Joan S.; Wajnryb, Bronislaw
4
1985
An algorithm for simple curves on surfaces. Zbl 0507.57006
Birman, Joan S.; Series, Caroline
13
1984
One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003
Rubinstein, J. H.; Birman, J. S.
6
1984
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
105
1983
Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004
Birman, Joan S.; Lubotzky, Alex; McCarthy, John
75
1983
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
57
1983
Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001
Birman, Joan S.; Kidwell, Mark E.
7
1982
On minimal Heegaard splittings. Zbl 0436.57003
Birman, Joan S.; Montesinos, José María
5
1980
A representation theorem for fibered knots and their monodromy maps. Zbl 0406.57004
Birman, Joan S.
1
1979
The \(\mu\)-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed, oriented 2-manifold. Zbl 0383.57006
Birman, Joan S.; Craggs, R.
24
1978
Sepcial Heegaard splittings for closed, oriented 3-manifolds. Zbl 0412.57009
Birman, Joan S.
1
1978
On the stable equivalence of plat representations of knots and links. Zbl 0339.55005
Birman, Joan S.
21
1976
Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004
Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María
20
1976
A note on the construction of simply-connected 3-manifolds as branched covering spaces of \(S^3\). Zbl 0325.55003
Birman, Joan S.
1
1976
Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013
Birman, Joan S.
198
1975
Heegaard splittings of branched coverings of \(S^3\). Zbl 0312.55004
Birman, Joan S.; Hilden, Hugh M.
35
1975
On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002
Birman, Joan S.
8
1975
Mapping class groups of surfaces: a survey. Zbl 0297.57001
Birman, Joan S.
85
1974
Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003
Birman, Joan S.
5
1974
On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001
Birman, Joan S.; Hilden, Hugh M.
47
1973
An inverse function theorem for free groups. Zbl 0274.20032
Birman, Joan S.
25
1973
The homeomorphism problem for S\(^3\). Zbl 0272.57001
Birman, Joan S.; Hilden, Hugh M.
8
1973
Plat presentations for link groups. Zbl 0266.20027
Birman, Joan S.
4
1973
On the homeotopy group of a non-orientable surface. Zbl 0232.57001
Birman, Joan S.; Chillingworth, D. R. J.
21
1972
Lifting and projecting homeomorphisms. Zbl 0247.55001
Birman, Joan S.; Hilden, Hugh M.
13
1972
Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002
Birman, Joan S.; Hilden, Hugh M.
5
1972
A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds. Zbl 0253.55001
Birman, Joan S.
3
1972
On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602
Birman, J. S.; Hilden, H. M.
48
1971
On Siegel’s modular group. Zbl 0208.10601
Birman, J. S.
31
1971
Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001
Birman, J. S.
2
1971
Abelian quotients of the mapping class group of a 2-manifold. Zbl 0191.22401
Birman, J. S.
4
1970
Discriminant and projective invariants of binary forms. Zbl 0189.55002
Birman, J.; Magnus, W.
1
1970
Mapping class groups and their relationship to braid groups. Zbl 0167.21503
Birman, J. S.
79
1969
On braid groups. Zbl 0157.30904
Birman, Joan S.
48
1969
Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103
Birman, J. S.
8
1969
Non-conjugate braids can define isotopic knots. Zbl 0187.45502
Birman, J. S.
3
1969
all top 5

Cited by 1,370 Authors

29 Birman, Joan S.
22 González-Meneses, Juan
22 Stoimenow, Alexander
17 Ito, Tetsuya
17 Margalit, Dan
16 Guaschi, John
15 Dehornoy, Patrick
14 Menasco, William W.
13 Lee, Sangjin
12 Cavicchioli, Alberto
12 Gonçalves, Daciberg Lima
12 Thomas Putman, Andrew
11 Abdulrahim, Mohammad N.
11 Kanenobu, Taizo
11 Leininger, Christopher J.
11 Ohyama, Yoshiyuki
10 Kawamuro, Keiko
10 Paris, Luis
10 Wiest, Bertold
9 Brendle, Tara E.
9 Gebhardt, Volker
9 Park, Chan-Young
9 Spaggiari, Fulvia
9 Stukow, Michał
9 Sullivan, Michael C.
8 Elrifai, Elsayed A.
8 Franco, Nuno
8 Humphries, Stephen P.
8 Jeong, Myeong-Ju
8 Jones, Vaughan Frederick Randal
8 Lee, Eonkyung
8 Rui, Hebing
8 Wenzl, Hans
7 Aramayona, Javier
7 Ghrist, Robert W.
7 Goodman, Frederick M.
7 Ko, Ki Hyoung
7 Letellier, Christophe
7 Lin, Xiao-Song
7 Orevkov, Stepan Yur’evich
7 Schleimer, Saul
7 Shpilrain, Vladimir
7 Szepietowski, Błażej
7 Vershinin, Vladimir V.
6 Banks, Stephen Paul
6 Bokut, Leonid A.
6 Calvez, Matthieu
6 Dasbach, Oliver T.
6 East, James
6 Hirose, Susumu
6 Hu, Jun
6 Malyutin, Andrey V.
6 Murakami, Jun
6 Przytycki, Józef H.
6 Si, Mei
6 Taheri, Ali
6 Williams, Robert F.
6 Zhang, Ruibin
6 Zieschang, Heiner
5 Bataineh, Khaled
5 Boileau, Michel Charles
5 Cohen, Daniel C.
5 Corran, Ruth
5 Eisermann, Michael
5 Etnyre, John B.
5 Fromentin, Jean
5 Gilmore, Robert
5 Horiuchi, Sumiko
5 Kauffman, Louis Hirsch
5 Kent, Autumn Exum
5 Le, Thang Tu Quoc
5 Lehrer, Gustav Isaac
5 Manturov, Vassiliĭ Olegovich
5 Marin, Ivan
5 Morita, Shigeyuki
5 Ng, Lenhard L.
5 Roman’kov, Vitaly Anatol’evich
5 Rowell, Eric C.
5 Telloni, Agnese Ilaria
5 Ushakov, Alexander S.
4 Antony, Noelle
4 Atalan, Ferihe
4 Behrstock, Jason A.
4 Bellingeri, Paolo
4 Bessis, David
4 Bigelow, Stephen J.
4 Bonahon, Francis
4 Boyland, Philip L.
4 Brandenbursky, Michael
4 Cohen, Arjeh Marcel
4 Dehornoy, Pierre
4 Farb, Benson
4 Franks, John M.
4 Fujiwara, Koji
4 Gambaudo, Jean-Marc
4 Gouesbet, Gérard
4 Hayashi, Chuichiro
4 Johnson, Dennis L.
4 Kamada, Seiichi
4 Kasahara, Yasushi
...and 1,270 more Authors
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Cited in 235 Serials

148 Journal of Knot Theory and its Ramifications
110 Topology and its Applications
64 Transactions of the American Mathematical Society
56 Journal of Algebra
55 Proceedings of the American Mathematical Society
54 Algebraic & Geometric Topology
38 Geometry & Topology
36 Communications in Mathematical Physics
32 Geometriae Dedicata
32 Mathematische Annalen
31 Advances in Mathematics
25 Journal of Pure and Applied Algebra
24 Mathematische Zeitschrift
21 Duke Mathematical Journal
19 Inventiones Mathematicae
18 Annales de l’Institut Fourier
18 Bulletin of the American Mathematical Society. New Series
18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
17 Chaos, Solitons and Fractals
15 Israel Journal of Mathematics
15 Mathematical Proceedings of the Cambridge Philosophical Society
14 Journal of Mathematical Sciences (New York)
13 Osaka Journal of Mathematics
12 Communications in Algebra
11 Physica D
11 Groups, Geometry, and Dynamics
10 International Journal of Theoretical Physics
10 Journal of the American Mathematical Society
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Discrete Mathematics
9 Journal of Mathematical Physics
9 Journal für die Reine und Angewandte Mathematik
8 Archiv der Mathematik
8 Ergodic Theory and Dynamical Systems
8 International Journal of Algebra and Computation
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Bulletin of the Australian Mathematical Society
7 Nuclear Physics. B
7 Manuscripta Mathematica
7 Proceedings of the Japan Academy. Series A
7 Experimental Mathematics
7 St. Petersburg Mathematical Journal
7 Groups, Complexity, Cryptology
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Applied Mathematics and Computation
6 Michigan Mathematical Journal
6 Siberian Mathematical Journal
6 Geometric and Functional Analysis. GAFA
6 Algebras and Representation Theory
6 Annals of Mathematics. Second Series
6 Quantum Topology
6 Winter Braids Lecture Notes
5 Mathematical Notes
5 Journal of Geometry and Physics
5 Glasgow Mathematical Journal
5 Journal of Combinatorial Theory. Series A
5 Journal of the Mathematical Society of Japan
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Tokyo Journal of Mathematics
5 Journal of Symbolic Computation
5 International Journal of Mathematics
5 Annales Mathématiques Blaise Pascal
5 Chaos
5 Journal of the Australian Mathematical Society
5 Journal of Topology
5 Journal of Topology and Analysis
4 Journal of Soviet Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Tohoku Mathematical Journal. Second Series
4 European Journal of Combinatorics
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Journal of the European Mathematical Society (JEMS)
4 Quantum Information Processing
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Statistical Physics
3 Algebra and Logic
3 Compositio Mathematica
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Combinatorial Theory. Series B
3 Journal of Geometry
3 Nagoya Mathematical Journal
3 Transactions of the Moscow Mathematical Society
3 Discrete & Computational Geometry
3 Doklady Mathematics
3 Conformal Geometry and Dynamics
3 Journal of High Energy Physics
3 Living Reviews in Relativity
3 Physical Review Letters
3 Journal of Algebra and its Applications
3 Bulletin of the American Mathematical Society
2 Archive for Rational Mechanics and Analysis
2 Discrete Applied Mathematics
2 Letters in Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Reviews in Mathematical Physics
2 The Mathematical Intelligencer
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Algebra Universalis
2 Annali di Matematica Pura ed Applicata. Serie Quarta
...and 135 more Serials
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Cited in 52 Fields

933 Manifolds and cell complexes (57-XX)
621 Group theory and generalizations (20-XX)
167 Dynamical systems and ergodic theory (37-XX)
79 Combinatorics (05-XX)
79 Quantum theory (81-XX)
74 Algebraic geometry (14-XX)
74 Associative rings and algebras (16-XX)
73 Several complex variables and analytic spaces (32-XX)
72 Nonassociative rings and algebras (17-XX)
65 Algebraic topology (55-XX)
55 Functions of a complex variable (30-XX)
55 Differential geometry (53-XX)
46 Computer science (68-XX)
31 Global analysis, analysis on manifolds (58-XX)
28 Category theory; homological algebra (18-XX)
27 Number theory (11-XX)
20 Ordinary differential equations (34-XX)
20 Functional analysis (46-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Topological groups, Lie groups (22-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
16 Relativity and gravitational theory (83-XX)
15 General topology (54-XX)
13 Information and communication theory, circuits (94-XX)
12 Probability theory and stochastic processes (60-XX)
11 Fluid mechanics (76-XX)
10 Mathematical logic and foundations (03-XX)
10 Partial differential equations (35-XX)
9 History and biography (01-XX)
9 Commutative algebra (13-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Convex and discrete geometry (52-XX)
6 Numerical analysis (65-XX)
6 Mechanics of particles and systems (70-XX)
5 General algebraic systems (08-XX)
5 Special functions (33-XX)
5 Geometry (51-XX)
4 Field theory and polynomials (12-XX)
4 \(K\)-theory (19-XX)
4 Measure and integration (28-XX)
4 Biology and other natural sciences (92-XX)
3 General and overarching topics; collections (00-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
1 Approximations and expansions (41-XX)
1 Operator theory (47-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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