## Birman, Joan S.

Compute Distance To:
 Author ID: birman.joan-s Published as: Birman, Joan S.; Birman, J. S.; Birman, Joan; Birman, J. more...less 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: 101 Publications since 1969, including 2 Books 6 Contributions as Editor · 4 Further Contributions Biographic References: 7 Publications Co-Authors: 56 Co-Authors with 75 Joint Publications 1,068 Co-Co-Authors
all top 5

### 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 Magnus, Wilhelm 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 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 Cannon, James W. 1 Chandler, Bruce 1 Chillingworth, D. R. J. 1 Conder, Marsteon 1 Connes, Alain 1 de la Harpe, Pierre 1 Evans, David E. 1 Fenchel, Werner 1 Finkelstein, Elizabeth 1 Freedman, Michael Hartley 1 González Acuña, Francisco Javier 1 Goodman, Fred J. 1 Guionnet, Alice 1 Hansen, Vagn Lundsgaard 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 Nielsen, Jakob 1 Pless, Vera S. 1 Popa, Sorin Teodor 1 Powell, Jerome L. 1 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 1 Zieschang, Heiner
all top 5

### 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 1 Contemporary Mathematicians 1 RIMS Kokyuroku
all top 5

### 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 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-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

88 Publications have been cited 2,189 times in 1,598 Documents Cited by Year
Braids, links, and mapping class groups. Based on lecture notes by James Cannon. Zbl 0305.57013
Birman, Joan S.
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
1998
Knot polynomials and Vassiliev’s invariants. Zbl 0812.57011
Birman, Joan S.; Lin, Xiao-Song
1993
Braids, link polynomials and a new algebra. Zbl 0684.57004
Birman, Joan S.; Wenzl, Hans
1989
New points of view in knot theory. Zbl 0785.57001
Birman, Joan S.
1993
Knotted periodic orbits in dynamical systems. I: Lorenz’s equations. Zbl 0507.58038
Birman, Joan S.; Williams, R. F.
1983
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
Braids: a survey. Zbl 1094.57006
Birman, Joan S.; Brendle, Tara E.
2005
Birman, Joan S.; Menasco, William W.
1990
Geodesics with bounded intersection number on surfaces are sparsely distributed. Zbl 0568.57006
Birman, Joan S.; Series, Caroline
1985
Heegaard splittings of branched coverings of $$S^3$$. Zbl 0312.55004
Birman, Joan S.; Hilden, Hugh M.
1975
On Siegel’s modular group. Zbl 0208.10601
Birman, J. S.
1971
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.; Menasco, William W.
1992
Stabilization in the braid groups. II. Transversal simplicity of knots. Zbl 1130.57005
Birman, Joan S.; Menasco, William W.
2006
On the homeotopy group of a non-orientable surface. Zbl 0232.57001
Birman, Joan S.; Chillingworth, D. R. J.
1972
Birman, Joan S.
1973
On the Jones polynomial of closed 3-braids. Zbl 0588.57005
Birman, Joan S.
1985
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
On the stable equivalence of plat representations of knots and links. Zbl 0339.55005
Birman, Joan S.
1976
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
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
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
On transversally simple knots. Zbl 1026.57005
Birman, Joan S.; Wrinkle, Nancy C.
2000
Lifting and projecting homeomorphisms. Zbl 0247.55001
Birman, Joan S.; Hilden, Hugh M.
1972
A note on closed 3-braids. Zbl 1158.57006
Birman, Joan S.; Menasco, William W.
2008
Studying links via closed braids. II: On a theorem of Bennequin. Zbl 0722.57001
Birman, Joan S.; Menasco, William W.
1991
A new algorithm for recognizing the unknot. Zbl 0955.57005
Birman, Joan S.; Hirsch, Michael D.
1998
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 twist on Lorenz links. Zbl 1233.57001
Birman, Joan; Kofman, Ilya
2009
Dehn’s algorithm revisited, with applications to simple curves on surfaces. Zbl 0624.20033
Birman, Joan S.; Series, Caroline
1987
On the equivalence of Heegaard splittings of closed, orientable 3- manifolds. Zbl 0337.57002
Birman, Joan S.
1975
Automorphisms of the fundamental group of a closed, orientable 2- manifolds. Zbl 0175.50103
Birman, J. S.
1969
One-sided Heegaard splittings and homeotopy groups of some 3-manifolds. Zbl 0527.57003
Rubinstein, J. H.; Birman, J. S.
1984
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
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
On Markov’s theorem. Zbl 1059.57002
Birman, Joan S.; Menasco, William W.
2002
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
Jones’ braid-plat formula and a new surgery triple. Zbl 0643.57007
Birman, Joan S.; Kanenobu, Taizo
1988
Fixed points of pseudo-Anosov diffeomorphisms of surfaces. Zbl 0508.55001
Birman, Joan S.; Kidwell, Mark E.
1982
Holonomic and Legendrian parametrizations of knots. Zbl 1001.57015
Birman, Joan S.; Wrinkle, Nancy C.
2000
On minimal Heegaard splittings. Zbl 0436.57003
Birman, Joan S.; Montesinos, José María
1980
Errata: Presentations of the mapping class group. Zbl 0811.57019
Birman, Joan S.; Wajnryb, Bronislaw
1994
Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface. Zbl 1308.57009
Birman, Joan; Broaddus, Nathan; Menasco, William
2015
Mapping class groups of surfaces. Zbl 0663.57008
Birman, Joan S.
1988
Markov classes in certain finite quotients of Artin’s braid group. Zbl 0621.20025
Birman, Joan S.; Wajnryb, Bronislaw
1986
Poincaré’s conjecture and the homeotopy group of a closed orientable 2- manifold. Zbl 0282.55003
Birman, Joan S.
1974
Abelian quotients of the mapping class group of a 2-manifold. Zbl 0191.22401
Birman, J. S.
1970
The curve complex has dead ends. Zbl 1335.57031
Birman, Joan S.; Menasco, William W.
2015
Plat presentations for link groups. Zbl 0266.20027
Birman, Joan S.
1973
Erratum to ‘Isotopies of homeomorphisms of Riemann surfaces’. Zbl 1420.57053
Birman, Joan S.; Hilden, Hugh M.
2017
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
Polynomial invariants of pseudo-Anosov maps. Zbl 1268.57002
Birman, Joan; Brinkmann, Peter; Kawamuro, Keiko
2012
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
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
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
Studying links via closed braids. Zbl 0835.57002
Birman, Joan
1994
Braided chord diagrams. Zbl 0896.57003
Birman, Joan S.; Trapp, Rolland
1998
Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050
Nielsen, Jakob
1986
Calculating the image of the second Johnson-Morita representation. Zbl 1183.57016
Birman, Joan S.; Brendle, Tara E.; Broaddus, Nathan
2008
Discriminant and projective invariants of binary forms. Zbl 0189.55002
Birman, J.; Magnus, W.
1970
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
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
Obstructions to trivializing a knot. Zbl 1074.57002
Birman, Joan S.; Moody, John Atwell
2004
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
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
Erratum to ’Abelian quotients of the mapping class group of a 2-manifold’. Zbl 0213.25001
Birman, J. S.
1971
A note on the construction of simply-connected 3-manifolds as branched covering spaces of $$S^3$$. Zbl 0325.55003
Birman, Joan S.
1976
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
Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050
Nielsen, Jakob
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
On the stable equivalence of plat representations of knots and links. Zbl 0339.55005
Birman, Joan S.
1976
Heegard splittings of prime 3-manifolds are not unique. Zbl 0321.57004
Birman, Joan S.; Gonzalez-Acuna, F.; Montesinos, José María
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
all top 5

### Cited by 1,500 Authors

 31 Birman, Joan S. 24 Stoimenow, Alexander 22 González-Meneses, Juan 19 Ito, Tetsuya 19 Margalit, Dan 17 Guaschi, John 14 Menasco, William W. 13 Gonçalves, Daciberg Lima 13 Lee, Sangjin 12 Cavicchioli, Alberto 12 Putman, Andrew 11 Abdulrahim, Mohammad N. 11 Kanenobu, Taizo 11 Kawamuro, Keiko 11 Leininger, Christopher J. 11 Ohyama, Yoshiyuki 11 Paris, Luis 11 Wiest, Bertold 10 Dehornoy, Patrick 10 Letellier, Christophe 10 Sullivan, Michael C. 9 Aramayona, Javier 9 Brendle, Tara E. 9 Gebhardt, Volker 9 Park, Chan-Young 9 Rui, Hebing 9 Spaggiari, Fulvia 9 Szepietowski, Błażej 9 Wenzl, Hans 8 Elrifai, Elsayed A. 8 Franco, Nuno 8 Jeong, Myeong-Ju 8 Jones, Vaughan Frederick Randal 8 Lee, Eonkyung 8 Stukow, Michał 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 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 Fromentin, Jean 6 Gilmore, Robert 6 Hirose, Susumu 6 Hu, Jun 6 Humphries, Stephen P. 6 Ito, Noboru 6 Lambropoulou, Sofia S. F. 6 Marin, Ivan 6 Murakami, Jun 6 Przytycki, Józef Henryk 6 Si, Mei 6 Taheri, Ali 6 Ushakov, Alexander S. 6 Williams, Robert F. 6 Zhang, Ruibin 5 Bataineh, Khaled 5 Brandenbursky, Michael 5 Chen, Lei 5 Corran, Ruth 5 Diao, Yuanan 5 Eisermann, Michael 5 Elhamdadi, Mohamed 5 Etnyre, John B. 5 Gobet, Thomas 5 Horiuchi, Sumiko 5 Kamada, Seiichi 5 Kent, Autumn Exum 5 Kozlovskaya, Tatyana Anatolevna 5 Le, Thang Tu Quoc 5 Lehrer, Gustav Isaac 5 Manturov, Vassiliĭ Olegovich 5 Morita, Shigeyuki 5 Ng, Lenhard L. 5 Ozawa, Makoto 5 Picantin, Matthieu 5 Roman’kov, Vitaly Anatol’evich 5 Rowell, Eric C. 5 Sato, Masatoshi 5 Series, Caroline 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 Ceniceros, Jose 4 Churchill, Indu R. U. 4 Cohen, Arjeh Marcel ...and 1,400 more Authors
all top 5

### Cited in 260 Serials

 166 Journal of Knot Theory and its Ramifications 110 Topology and its Applications 62 Journal of Algebra 62 Transactions of the American Mathematical Society 62 Algebraic & Geometric Topology 55 Proceedings of the American Mathematical Society 41 Geometriae Dedicata 39 Geometry & Topology 36 Communications in Mathematical Physics 33 Mathematische Annalen 27 Advances in Mathematics 26 Journal of Pure and Applied Algebra 26 Mathematische Zeitschrift 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 11 Journal of the American Mathematical Society 10 International Journal of Theoretical Physics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Mathematical Physics 9 Ergodic Theory and Dynamical Systems 9 International Journal of Algebra and Computation 8 Discrete Mathematics 8 Nuclear Physics. B 8 Archiv der Mathematik 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 Pacific Journal of Mathematics 7 Proceedings of the Japan Academy. Series A 7 Siberian Mathematical Journal 7 Geometric and Functional Analysis. GAFA 7 Experimental Mathematics 7 Algebras and Representation Theory 7 Annals of Mathematics. Second Series 7 Journal of Topology and Analysis 7 Groups, Complexity, Cryptology 7 Quantum Topology 6 Journal of Geometry and Physics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Applied Mathematics and Computation 6 Glasgow Mathematical Journal 6 Journal of the Mathematical Society of Japan 6 Michigan Mathematical Journal 6 Tokyo Journal of Mathematics 6 International Journal of Mathematics 6 Journal of High Energy Physics 6 Winter Braids Lecture Notes 5 Mathematical Notes 5 Journal of Combinatorial Theory. Series A 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 European Journal of Combinatorics 5 Annales Mathématiques Blaise Pascal 5 Boletín de la Sociedad Matemática Mexicana. Third Series 5 Journal of the European Mathematical Society (JEMS) 5 Journal of the Australian Mathematical Society 5 Journal of Topology 4 Compositio Mathematica 4 Indiana University Mathematics Journal 4 Journal of Soviet Mathematics 4 Nagoya Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Tôhoku Mathematical Journal. Second Series 4 Discrete & Computational Geometry 4 Quantum Information Processing 4 Mediterranean Journal of Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Statistical Physics 3 The Mathematical Intelligencer 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 Chinese Annals of Mathematics. Series B 3 Acta Mathematica Hungarica 3 Journal of Symbolic Computation 3 Selecta Mathematica. New Series 3 Doklady Mathematics 3 Conformal Geometry and Dynamics 3 Journal of Group Theory 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 ...and 160 more Serials
all top 5

### Cited in 52 Fields

 1,039 Manifolds and cell complexes (57-XX) 675 Group theory and generalizations (20-XX) 176 Dynamical systems and ergodic theory (37-XX) 89 Combinatorics (05-XX) 88 Quantum theory (81-XX) 83 Associative rings and algebras (16-XX) 80 Nonassociative rings and algebras (17-XX) 78 Several complex variables and analytic spaces (32-XX) 75 Algebraic topology (55-XX) 71 Algebraic geometry (14-XX) 67 Differential geometry (53-XX) 61 Functions of a complex variable (30-XX) 48 Computer science (68-XX) 35 Category theory; homological algebra (18-XX) 33 Global analysis, analysis on manifolds (58-XX) 31 Number theory (11-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Functional analysis (46-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 20 Topological groups, Lie groups (22-XX) 20 Ordinary differential equations (34-XX) 14 General topology (54-XX) 14 Information and communication theory, circuits (94-XX) 13 Relativity and gravitational theory (83-XX) 11 Commutative algebra (13-XX) 11 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 11 Fluid mechanics (76-XX) 10 History and biography (01-XX) 10 Mathematical logic and foundations (03-XX) 8 Special functions (33-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 $$K$$-theory (19-XX) 6 Measure and integration (28-XX) 6 Geometry (51-XX) 6 Convex and discrete geometry (52-XX) 6 Numerical analysis (65-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Field theory and polynomials (12-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)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.