Birman, Joan S.

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 Author ID: birman.joan-s Published as: Birman, Joan S.; Birman, J. S.; Birman, Joan; Birman, J. Further Spellings: Birman, Joan Sylvia Lyttle Homepage: https://www.math.columbia.edu/~jb/ External Links: Women in Mathematics · Celebratio Mathematica · MacTutor · MGP · Wikidata · GND · IdRef
 Documents Indexed: 100 Publications since 1969, including 2 Books 6 Contributions as Editor · 3 Further Contributions Biographic References: 7 Publications Co-Authors: 56 Co-Authors with 74 Joint Publications 1,038 Co-Co-Authors
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Co-Authors

 33 single-authored 15 Menasco, William W. 7 Hilden, Hugh Michael 5 Ko, Ki Hyoung 5 Series, Caroline 4 Kawauchi, Akio 3 Gebhardt, Volker 3 González-Meneses, Juan 3 Gordon, Cameron McA. 3 Jin, Gyo Taek 3 Kauffman, Louis Hirsch 3 Levine, Jerome P. 3 Matsumoto, Yukio 3 Wajnryb, Bronislaw 3 Wrinkle, Nancy C. 2 Brendle, Tara E. 2 Broaddus, Nathan 2 Craggs, Robert 2 Kanenobu, Taizo 2 Lee, Sangjin 2 Magnus, Wilhelm 2 Montesinos-Amilibia, José María 2 Moody, John Atwell 2 Williams, Robert F. 1 Abikoff, William 1 Baxter, Rodney J. 1 Bharathram, Vasudha 1 Bisch, Dietmar H. 1 Boldi, Paolo 1 Brinkmann, Peter 1 Chillingworth, D. R. J. 1 Conder, Marsteon 1 Connes, Alain 1 de la Harpe, Pierre 1 Evans, David E. 1 Finkelstein, Elizabeth 1 Freedman, Michael Hartley 1 González Acuña, Francisco Javier 1 Goodman, Fred J. 1 Guionnet, Alice 1 Hirsch, Michael D. 1 Izumi, Masaki 1 Jackson, Allyn 1 Jaffe, Arthur Michael 1 Johnson, Dennis L. 1 Kawahigashi, Yasuyuki 1 Kawamuro, Keiko 1 Kidwell, Mark Elliot 1 Kirby, Robion Cromwell 1 Kofman, Ilya 1 Kuiken, Kathryn 1 Landau, Susan Eva 1 Lehrer, Gustav Isaac 1 Libgober, Anatoly S. 1 Lin, Xiao-Song 1 Long, Darren D. 1 Longo, Roberto 1 Lubotzky, Alexander 1 Maeda, Toru 1 Margalit, Dan 1 Martin, Gaven J. 1 Marumoto, Yoshihiko 1 McCarthy, John D. 1 Miyazaki, Katura 1 Morse, Matthew J. 1 Murakami, Hitoshi 1 Nakanishi, Yasutaka 1 Pless, Vera S. 1 Popa, Sorin Teodor 1 Powell, Jerome L. 1 Thomas Putman, Andrew 1 Rampichini, Marta 1 Ratcliffe, John G. 1 Reshetikhin, Nikolai Yu. 1 Rubinstein, J. Hyam 1 Saito, Masa-Hiko 1 Sakuma, Makoto 1 Sekine, Mituhiro 1 Shibuya, Tetsuo 1 Shlyakhtenko, Dimitri L. 1 Skandalis, Georges 1 Srinivasan, Bhama 1 Sutherland, Colin E. 1 Suzuki, Shin’ichi 1 Taylor, Jean Ellen 1 Teicher, Mina 1 Tepper Haimo, Deborah 1 Trapp, Rolland 1 Traynor, Lisa 1 Vigna, Sebastiano 1 Wenzl, Hans 1 Witten, Edward 1 Woodin, W. Hugh
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Serials

 8 Journal of Knot Theory and its Ramifications 6 Communications on Pure and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 Bulletin of the American Mathematical Society 4 Topology 4 Transactions of the American Mathematical Society 4 Notices of the American Mathematical Society 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Pacific Journal of Mathematics 3 Geometry & Topology 2 Geometriae Dedicata 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Topology and its Applications 2 Bulletin of the American Mathematical Society. New Series 2 Annals of Mathematics. Second Series 2 Contemporary Mathematics 2 Groups, Geometry, and Dynamics 2 Journal of Topology and Analysis 1 Arkhimedes 1 The Mathematical Intelligencer 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 Mitteilungen der Mathematischen Gesellschaft in Hamburg 1 Communications in Contemporary Mathematics 1 Journal of the Australian Mathematical Society 1 Proceedings of the Cambridge Philosophical Society 1 Annals of Mathematics Studies 1 Journal of Topology 1 Involve
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Fields

 86 Manifolds and cell complexes (57-XX) 36 Group theory and generalizations (20-XX) 9 General and overarching topics; collections (00-XX) 7 Algebraic topology (55-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 4 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

Citations contained in zbMATH Open

87 Publications have been cited 2,081 times in 1,517 Documents Cited by Year
Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013
Birman, Joan S.
1975
Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011
Birman, Joan S.; Lin, Xiao-Song
1993
A new approach to the word and conjugacy problems in the braid groups. Zbl 0937.20016
Birman, Joan; Ko, Ki Hyoung; Lee, Sang Jin
1998
Braids, link polynomials and a new algebra. Zbl 0684.57004
Birman, Joan S.; Wenzl, Hans
1989
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
1983
New points of view in knot theory. Zbl 0785.57001
Birman, Joan S.
1993
Mapping class groups and their relationship to braid groups. Zbl 0167.21503
Birman, J. S.
1969
Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004
Birman, Joan S.; Lubotzky, Alex; McCarthy, John
1983
Mapping class groups of surfaces: a survey. Zbl 0297.57001
Birman, Joan S.
1974
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
1983
Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010
Birman, Joan S.; Menasco, William W.
1993
On braid groups. Zbl 0157.30904
Birman, Joan S.
1969
On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001
Birman, Joan S.; Hilden, Hugh M.
1973
On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602
Birman, J. S.; Hilden, H. M.
1971
Heegaard splittings of branched coverings of $$S^3$$. Zbl 0312.55004
Birman, Joan S.; Hilden, Hugh M.
1975
Birman, Joan S.; Menasco, William W.
1990
On Siegel’s modular group. Zbl 0208.10601
Birman, J. S.
1971
Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006
Birman, Joan S.; Series, Caroline
1985
Braids: a survey. Zbl 1094.57006
Birman, Joan S.; Brendle, Tara E.
2005
Birman, Joan S.; Menasco, William W.
1992
Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005
Birman, Joan S.; Menasco, William W.
2006
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.
1978
Birman, Joan S.
1973
On the Jones polynomial of closed 3-braids. Zbl 0588.57005
Birman, Joan S.
1985
On the homeotopy group of a non-orientable surface. Zbl 0232.57001
Birman, Joan S.; Chillingworth, D. R. J.
1972
Conjugacy in Garside groups. I: Cyclings, powers and rigidity. Zbl 1160.20026
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
2007
Special positions for essential tori in link complements. Zbl 0833.57004
Birman, Joan S.; Menasco, William W.
1994
Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
2007
Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004
Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María
1976
On the stable equivalence of plat representations of knots and links. Zbl 0339.55005
Birman, Joan S.
1976
Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002
Birman, Joan S.; Menasco, William W.
1992
Studying surfaces via closed braids. Zbl 0907.57006
Birman, Joan S.; Finkelstein, Elizabeth
1998
The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039
Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin
2001
Stabilization in the braid groups. I: MTWS. Zbl 1128.57003
Birman, Joan S.; Menasco, William W.
2006
On transversally simple knots. Zbl 1026.57005
Birman, Joan S.; Wrinkle, Nancy C.
2000
A note on closed 3-braids. Zbl 1158.57006
Birman, Joan S.; Menasco, William W.
2008
An algorithm for simple curves on surfaces. Zbl 0507.57006
Birman, Joan S.; Series, Caroline
1984
Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001
Birman, Joan S.; Menasco, William W.
1992
Lifting and projecting homeomorphisms. Zbl 0247.55001
Birman, Joan S.; Hilden, Hugh M.
1972
Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023
Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan
2008
A new algorithm for recognizing the unknot. Zbl 0955.57005
Birman, Joan S.; Hirsch, Michael D.
1998
A new twist on Lorenz links. Zbl 1233.57001
Birman, Joan; Kofman, Ilya
2009
Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001
Birman, Joan S.; Menasco, William W.
1991
Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007
Birman, Joan S.; Series, Caroline
1988
Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002
Birman, Joan S.; Hilden, Hugh M.
1972
The homeomorphism problem for S$$^3$$. Zbl 0272.57001
Birman, Joan S.; Hilden, Hugh M.
1973
Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022
Birman, Joan; Margalit, Dan; Menasco, William
2016
Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103
Birman, J. S.
1969
On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002
Birman, Joan S.
1975
One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003
Rubinstein, J. H.; Birman, J. S.
1984
On Markov’s theorem. Zbl 1059.57002
Birman, Joan S.; Menasco, William W.
2002
Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033
Birman, Joan S.; Series, Caroline
1987
Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007
Birman, Joan S.; Kanenobu, Taizo
1988
Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035
Birman, J. S.; Long, D. D.; Moody, J. A.
1994
The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033
Birman, Joan S.
2006
Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001
Birman, Joan S.; Kidwell, Mark E.
1982
Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025
Birman, Joan S.; Wajnryb, Bronislaw
1986
Mapping class groups of surfaces. Zbl 0663.57008
Birman, Joan S.
1988
Errata: Presentations of the mapping class group. Zbl 0811.57019
Birman, Joan S.; Wajnryb, Bronislaw
1994
Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003
Birman, Joan S.
1974
Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009
Birman, Joan; Broaddus, Nathan; Menasco, William
2015
On minimal Heegaard splittings. Zbl 0436.57003
Birman, Joan S.; Montesinos, José María
1980
Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015
Birman, Joan S.; Wrinkle, Nancy C.
2000
Plat presentations for link groups. Zbl 0266.20027
Birman, Joan S.
1973
The curve complex has dead ends. Zbl 1335.57031
Birman, Joan S.; Menasco, William W.
2015
Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053
Birman, Joan S.; Hilden, Hugh M.
2017
Abelian quotients of the mapping class group of a 2-manifold. Zbl 0191.22401
Birman, J. S.
1970
3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009
Birman, Joan S.; Wajnryb, Bronislaw
1985
A normal form in the homeotopy group of a surface of genus 2, with applications to 3-manifolds. Zbl 0253.55001
Birman, Joan S.
1972
Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002
Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko
2012
Recent developments in braid and link theory. Zbl 0713.57002
Birman, Joan S.
1991
Non-conjugate braids can define isotopic knots. Zbl 0187.45502
Birman, J. S.
1969
On the combinatorics of Vassiliev invariants. Zbl 0938.57004
Birman, Joan S.
1994
Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016
Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan
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
2002
Braided chord diagrams. Zbl 0896.57003
Birman, Joan S.; Trapp, Rolland
1998
Studying links via closed braids. Zbl 0835.57002
Birman, Joan
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
1994
A representation theorem for fibered knots and their monodromy maps. Zbl 0406.57004
Birman, Joan S.
1979
Sepcial Heegaard splittings for closed, oriented 3-manifolds. Zbl 0412.57009
Birman, Joan S.
1978
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
1988
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
2002
Obstructions to trivializing a knot. Zbl 1074.57002
Birman, Joan S.; Moody, John Atwell
2004
A note on the construction of simply-connected 3-manifolds as branched covering spaces of $$S^3$$. Zbl 0325.55003
Birman, Joan S.
1976
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.
2011
Discriminant and projective invariants of binary forms. Zbl 0189.55002
Birman, J.; Magnus, W.
1970
Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001
Birman, J. S.
1971
Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053
Birman, Joan S.; Hilden, Hugh M.
2017
Efficient geodesics and an effective algorithm for distance in the complex of curves. Zbl 1350.05022
Birman, Joan; Margalit, Dan; Menasco, William
2016
Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009
Birman, Joan; Broaddus, Nathan; Menasco, William
2015
The curve complex has dead ends. Zbl 1335.57031
Birman, Joan S.; Menasco, William W.
2015
Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002
Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko
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.
2011
A new twist on Lorenz links. Zbl 1233.57001
Birman, Joan; Kofman, Ilya
2009
A note on closed 3-braids. Zbl 1158.57006
Birman, Joan S.; Menasco, William W.
2008
Conjugacy in Garside groups. II: Structure of the ultra summit set. Zbl 1163.20023
Birman, Joan S.; Gebhardt, Volker; Gonzáles-Meneses, Juan
2008
Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016
Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan
2008
Conjugacy in Garside groups. I: Cyclings, powers and rigidity. Zbl 1160.20026
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
2007
Conjugacy in Garside groups. III: Periodic braids. Zbl 1165.20031
Birman, Joan S.; Gebhardt, Volker; González-Meneses, Juan
2007
Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005
Birman, Joan S.; Menasco, William W.
2006
Stabilization in the braid groups. I: MTWS. Zbl 1128.57003
Birman, Joan S.; Menasco, William W.
2006
The topology of 3-manifolds, Heegaard distance and the mapping class group of a 2-manifold. Zbl 1304.57033
Birman, Joan S.
2006
Braids: a survey. Zbl 1094.57006
Birman, Joan S.; Brendle, Tara E.
2005
Obstructions to trivializing a knot. Zbl 1074.57002
Birman, Joan S.; Moody, John Atwell
2004
On Markov’s theorem. Zbl 1059.57002
Birman, Joan S.; Menasco, William W.
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
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
2002
The infimum, supremum, and geodesic length of a braid conjugacy class. Zbl 1063.20039
Birman, Joan S.; Ko, Ki Hyoung; Lee, Sang Jin
2001
On transversally simple knots. Zbl 1026.57005
Birman, Joan S.; Wrinkle, Nancy C.
2000
Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015
Birman, Joan S.; Wrinkle, Nancy C.
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
1998
Studying surfaces via closed braids. Zbl 0907.57006
Birman, Joan S.; Finkelstein, Elizabeth
1998
A new algorithm for recognizing the unknot. Zbl 0955.57005
Birman, Joan S.; Hirsch, Michael D.
1998
Braided chord diagrams. Zbl 0896.57003
Birman, Joan S.; Trapp, Rolland
1998
Special positions for essential tori in link complements. Zbl 0833.57004
Birman, Joan S.; Menasco, William W.
1994
Finite-dimensional representations of Artin’s braid group. Zbl 0847.20035
Birman, J. S.; Long, D. D.; Moody, J. A.
1994
Errata: Presentations of the mapping class group. Zbl 0811.57019
Birman, Joan S.; Wajnryb, Bronislaw
1994
On the combinatorics of Vassiliev invariants. Zbl 0938.57004
Birman, Joan S.
1994
Studying links via closed braids. Zbl 0835.57002
Birman, Joan
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
1994
Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011
Birman, Joan S.; Lin, Xiao-Song
1993
New points of view in knot theory. Zbl 0785.57001
Birman, Joan S.
1993
Studying links via closed braids. III: Classifying links which are closed 3-braids. Zbl 0813.57010
Birman, Joan S.; Menasco, William W.
1993
Birman, Joan S.; Menasco, William W.
1992
Studying links via closed braids. VI: A non-finiteness theorem. Zbl 0739.57002
Birman, Joan S.; Menasco, William W.
1992
Studying links via closed braids. I: A finiteness theorem. Zbl 0724.57001
Birman, Joan S.; Menasco, William W.
1992
Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001
Birman, Joan S.; Menasco, William W.
1991
Recent developments in braid and link theory. Zbl 0713.57002
Birman, Joan S.
1991
Birman, Joan S.; Menasco, William W.
1990
Braids, link polynomials and a new algebra. Zbl 0684.57004
Birman, Joan S.; Wenzl, Hans
1989
Algebraic linearity for an automorphism of a surface group. Zbl 0646.57007
Birman, Joan S.; Series, Caroline
1988
Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007
Birman, Joan S.; Kanenobu, Taizo
1988
Mapping class groups of surfaces. Zbl 0663.57008
Birman, Joan S.
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
1988
Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033
Birman, Joan S.; Series, Caroline
1987
Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025
Birman, Joan S.; Wajnryb, Bronislaw
1986
Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006
Birman, Joan S.; Series, Caroline
1985
On the Jones polynomial of closed 3-braids. Zbl 0588.57005
Birman, Joan S.
1985
3-fold branched coverings and the mapping class group of a surface. Zbl 0589.57009
Birman, Joan S.; Wajnryb, Bronislaw
1985
An algorithm for simple curves on surfaces. Zbl 0507.57006
Birman, Joan S.; Series, Caroline
1984
One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003
Rubinstein, J. H.; Birman, J. S.
1984
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
1983
Abelian and solvable subgroups of the mapping class group. Zbl 0551.57004
Birman, Joan S.; Lubotzky, Alex; McCarthy, John
1983
Knotted periodic orbits in dynamical systems. II: Knot holders for fibered knots. Zbl 0526.58043
Birman, Joan S.; Williams, R. F.
1983
Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001
Birman, Joan S.; Kidwell, Mark E.
1982
On minimal Heegaard splittings. Zbl 0436.57003
Birman, Joan S.; Montesinos, José María
1980
A representation theorem for fibered knots and their monodromy maps. Zbl 0406.57004
Birman, Joan S.
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.
1978
Sepcial Heegaard splittings for closed, oriented 3-manifolds. Zbl 0412.57009
Birman, Joan S.
1978
Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004
Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María
1976
On the stable equivalence of plat representations of knots and links. Zbl 0339.55005
Birman, Joan S.
1976
A note on the construction of simply-connected 3-manifolds as branched covering spaces of $$S^3$$. Zbl 0325.55003
Birman, Joan S.
1976
Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013
Birman, Joan S.
1975
Heegaard splittings of branched coverings of $$S^3$$. Zbl 0312.55004
Birman, Joan S.; Hilden, Hugh M.
1975
On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002
Birman, Joan S.
1975
Mapping class groups of surfaces: a survey. Zbl 0297.57001
Birman, Joan S.
1974
Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003
Birman, Joan S.
1974
On isotopies of homeomorphisms of Riemann surfaces. Zbl 0237.57001
Birman, Joan S.; Hilden, Hugh M.
1973
Birman, Joan S.
1973
The homeomorphism problem for S$$^3$$. Zbl 0272.57001
Birman, Joan S.; Hilden, Hugh M.
1973
Plat presentations for link groups. Zbl 0266.20027
Birman, Joan S.
1973
On the homeotopy group of a non-orientable surface. Zbl 0232.57001
Birman, Joan S.; Chillingworth, D. R. J.
1972
Lifting and projecting homeomorphisms. Zbl 0247.55001
Birman, Joan S.; Hilden, Hugh M.
1972
Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin’s braid group. Zbl 0255.57002
Birman, Joan S.; Hilden, Hugh M.
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.
1972
On the mapping class groups of closed surfaces as covering spaces. Zbl 0217.48602
Birman, J. S.; Hilden, H. M.
1971
On Siegel’s modular group. Zbl 0208.10601
Birman, J. S.
1971
Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001
Birman, J. S.
1971
Abelian quotients of the mapping class group of a 2-manifold. Zbl 0191.22401
Birman, J. S.
1970
Discriminant and projective invariants of binary forms. Zbl 0189.55002
Birman, J.; Magnus, W.
1970
Mapping class groups and their relationship to braid groups. Zbl 0167.21503
Birman, J. S.
1969
On braid groups. Zbl 0157.30904
Birman, Joan S.
1969
Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103
Birman, J. S.
1969
Non-conjugate braids can define isotopic knots. Zbl 0187.45502
Birman, J. S.
1969
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Cited by 1,417 Authors

 30 Birman, Joan S. 24 Stoimenow, Alexander 22 González-Meneses, Juan 19 Margalit, Dan 18 Ito, Tetsuya 17 Guaschi, John 14 Menasco, William W. 13 Gonçalves, Daciberg Lima 13 Lee, Sangjin 12 Cavicchioli, Alberto 12 Thomas Putman, Andrew 11 Abdulrahim, Mohammad N. 11 Kanenobu, Taizo 11 Leininger, Christopher J. 11 Ohyama, Yoshiyuki 10 Dehornoy, Patrick 10 Kawamuro, Keiko 10 Letellier, Christophe 10 Paris, Luis 10 Sullivan, Michael C. 10 Wiest, Bertold 9 Aramayona, Javier 9 Brendle, Tara E. 9 Gebhardt, Volker 9 Park, Chan-Young 9 Spaggiari, Fulvia 8 Elrifai, Elsayed A. 8 Franco, Nuno 8 Jeong, Myeong-Ju 8 Jones, Vaughan Frederick Randal 8 Lee, Eonkyung 8 Rui, Hebing 8 Stukow, Michał 8 Wenzl, Hans 7 Ghrist, Robert W. 7 Goodman, Frederick M. 7 Kauffman, Louis Hirsch 7 Ko, Ki Hyoung 7 Lin, Xiao-Song 7 Orevkov, Stepan Yur’evich 7 Schleimer, Saul 7 Shpilrain, Vladimir 7 Szepietowski, Błażej 7 Vershinin, Vladimir V. 7 Zieschang, Heiner 6 Boileau, Michel Charles 6 Bokut, Leonid A. 6 Calvez, Matthieu 6 Dasbach, Oliver T. 6 East, James 6 Gilmore, Robert 6 Hirose, Susumu 6 Hu, Jun 6 Humphries, Stephen P. 6 Lambropoulou, Sofia S. F. 6 Murakami, Jun 6 Przytycki, Józef H. 6 Si, Mei 6 Taheri, Ali 6 Ushakov, Alexander S. 6 Williams, Robert F. 6 Zhang, Ruibin 5 Bataineh, Khaled 5 Corran, Ruth 5 Diao, Yuanan 5 Eisermann, Michael 5 Etnyre, John B. 5 Fromentin, Jean 5 Horiuchi, Sumiko 5 Kamada, Seiichi 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 Ozawa, Makoto 5 Roman’kov, Vitaly Anatol’evich 5 Rowell, Eric C. 5 Telloni, Agnese Ilaria 4 Antony, Noelle 4 Atalan, Ferihe 4 Behrstock, Jason A. 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 Doty, Stephen R. 4 Elhamdadi, Mohamed 4 Farb, Benson 4 Franks, John M. 4 Gobet, Thomas 4 Gouesbet, Gérard 4 Hayashi, Chuichiro 4 Holmes, Philip J. 4 Ito, Noboru ...and 1,317 more Authors
all top 5

Cited in 247 Serials

 158 Journal of Knot Theory and its Ramifications 106 Topology and its Applications 61 Transactions of the American Mathematical Society 56 Journal of Algebra 54 Algebraic & Geometric Topology 53 Proceedings of the American Mathematical Society 38 Geometry & Topology 37 Geometriae Dedicata 36 Communications in Mathematical Physics 33 Mathematische Annalen 27 Advances in Mathematics 25 Mathematische Zeitschrift 24 Journal of Pure and Applied Algebra 21 Annales de l’Institut Fourier 21 Duke Mathematical Journal 20 Inventiones Mathematicae 19 Bulletin of the American Mathematical Society. New Series 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Israel Journal of Mathematics 16 Mathematical Proceedings of the Cambridge Philosophical Society 16 Chaos, Solitons and Fractals 14 Osaka Journal of Mathematics 14 Journal of Mathematical Sciences (New York) 13 Groups, Geometry, and Dynamics 12 Communications in Algebra 12 Physica D 11 Journal für die Reine und Angewandte Mathematik 10 International Journal of Theoretical Physics 10 Journal of the American Mathematical Society 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Mathematical Physics 9 Ergodic Theory and Dynamical Systems 8 Discrete Mathematics 8 Archiv der Mathematik 8 International Journal of Algebra and Computation 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 St. Petersburg Mathematical Journal 8 Chaos 7 Bulletin of the Australian Mathematical Society 7 Manuscripta Mathematica 7 Proceedings of the Japan Academy. Series A 7 Experimental Mathematics 7 Algebras and Representation Theory 7 Annals of Mathematics. Second Series 7 Groups, Complexity, Cryptology 7 Quantum Topology 6 Nuclear Physics. B 6 Journal of Geometry and Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Applied Mathematics and Computation 6 Journal of the Mathematical Society of Japan 6 Michigan Mathematical Journal 6 Siberian Mathematical Journal 6 International Journal of Mathematics 6 Geometric and Functional Analysis. GAFA 6 Journal of Topology and Analysis 6 Winter Braids Lecture Notes 5 Mathematical Notes 5 Glasgow Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Tokyo Journal of Mathematics 5 European Journal of Combinatorics 5 Annales Mathématiques Blaise Pascal 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Journal of the Australian Mathematical Society 5 Journal of Topology 4 Compositio Mathematica 4 Journal of Soviet Mathematics 4 Nagoya Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Tohoku Mathematical Journal. Second Series 4 Discrete & Computational Geometry 4 Journal of the European Mathematical Society (JEMS) 4 Quantum Information Processing 4 Mediterranean Journal of Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Statistical Physics 3 Acta Mathematica Vietnamica 3 Algebra and Logic 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Combinatorial Theory. Series B 3 Journal of Geometry 3 Transactions of the Moscow Mathematical Society 3 Acta Mathematica Hungarica 3 Journal of Symbolic Computation 3 Doklady Mathematics 3 Conformal Geometry and Dynamics 3 Journal of High Energy Physics 3 Physical Review Letters 3 Journal of Algebra and its Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 Bulletin of the American Mathematical Society 3 Journal of Mathematical Cryptology 2 Archive for Rational Mechanics and Analysis 2 Journal of Fluid Mechanics 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal ...and 147 more Serials
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Cited in 52 Fields

 988 Manifolds and cell complexes (57-XX) 636 Group theory and generalizations (20-XX) 172 Dynamical systems and ergodic theory (37-XX) 84 Combinatorics (05-XX) 83 Quantum theory (81-XX) 76 Associative rings and algebras (16-XX) 75 Nonassociative rings and algebras (17-XX) 74 Several complex variables and analytic spaces (32-XX) 71 Algebraic geometry (14-XX) 69 Algebraic topology (55-XX) 59 Differential geometry (53-XX) 58 Functions of a complex variable (30-XX) 48 Computer science (68-XX) 31 Global analysis, analysis on manifolds (58-XX) 30 Category theory; homological algebra (18-XX) 29 Number theory (11-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Functional analysis (46-XX) 20 Ordinary differential equations (34-XX) 19 Topological groups, Lie groups (22-XX) 18 Order, lattices, ordered algebraic structures (06-XX) 14 Relativity and gravitational theory (83-XX) 14 Information and communication theory, circuits (94-XX) 13 General topology (54-XX) 12 Probability theory and stochastic processes (60-XX) 12 Fluid mechanics (76-XX) 11 Mathematical logic and foundations (03-XX) 11 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) 7 Calculus of variations and optimal control; optimization (49-XX) 6 General algebraic systems (08-XX) 6 Geometry (51-XX) 6 Numerical analysis (65-XX) 5 Measure and integration (28-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Field theory and polynomials (12-XX) 4 $$K$$-theory (19-XX) 3 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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)

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