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Author ID: saito.masahico Recent zbMATH articles by "Saito, Masahico"
Published as: Saito, Masahico; Saito, M.
Homepage: http://shell.cas.usf.edu/~saito/

Publications by Year

Citations contained in zbMATH Open

82 Publications have been cited 1,196 times in 644 Documents Cited by Year
Quandle cohomology and state-sum invariants of knotted curves and surfaces. Zbl 1028.57003
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Langford, Laurel; Saito, Masahico
190
2003
Knotted surfaces and their diagrams. Zbl 0904.57010
Carter, J. Scott; Saito, Masahico
120
1998
Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
112
2002
Geometric interpretations of quandle homology. Zbl 1002.57019
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
63
2001
Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles. Zbl 1067.57006
Carter, J. Scott; Elhamdadi, Mohamed; Saito, Masahico
60
2004
Quandle homology groups, their Betti numbers, and virtual knots. Zbl 0977.55013
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Saito, Masahico
40
2001
Cocycle knot invariants from quandle modules and generalized quandle homology. Zbl 1089.57008
Carter, J. Scott; El Hamdadi, Mohamed; Graña, Matias; Saito, Masahico
37
2005
Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020
Carter, J. Scott; Saito, Masahico
36
1993
Extensions of quandles and cocycle knot invariants. Zbl 1049.57008
Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico
31
2003
Computations of quandle cocycle invariants of knotted curves and surfaces. Zbl 0968.57002
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Saito, Masahico
29
2001
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
29
2004
Twisted quandle homology theory and cocycle knot invariants. Zbl 0991.57005
Carter, J. Scott; Elhamdadi, Mohamed; Saito, Masahico
29
2002
State-sum invariants of knotted curves and surfaces from quandle cohomology. Zbl 0995.57004
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Langford, Laurel; Saito, Masahico
26
1999
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
23
2014
A combinatorial description of knotted surfaces and their isotopies. Zbl 0870.57032
Carter, J. Scott; Rieger, Joachim H.; Saito, Masahico
23
1997
The classical and quantum \(6j\)-symbols. Zbl 0851.17001
Carter, J. Scott; Flath, Daniel E.; Saito, Masahico
22
1996
Cancelling branch points on projections of surfaces in 4-space. Zbl 0765.57016
Carter, J. Scott; Saito, Masahico
18
1992
Cohomology of categorical self-distributivity. Zbl 1193.18009
Carter, J. Scott; Crans, Alissa S.; Elhamdadi, Mohamed; Saito, Masahico
17
2008
A theorem of Sanderson on link bordisms in dimension \(4\). Zbl 0973.57010
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico; Satoh, Shin
13
2001
The minimum number of Fox colors and quandle cocycle invariants. Zbl 1220.57003
Saito, Masahico
13
2010
Diagrammatic computations for quandles and cocycle knot invariants. Zbl 1040.57003
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
13
2003
Représentations unitaires des groupes symplectiques. (Unitary representations of symmetric groups.). Zbl 0232.22025
Saito, M.
13
1972
Structures and diagrammatics of four dimensional topological lattice field theories. Zbl 0938.57014
Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico
12
1999
Linking of uniform random polygons in confined spaces. Zbl 1123.57005
Arsuaga, J.; Blackstone, T.; Diao, Y.; Karadayi, E.; Saito, M.
11
2007
Virtual knot invariants from group biquandles and their cocycles. Zbl 1186.57004
Carter, J. Scott; Silver, Daniel S.; Williams, Susan G.; Elhamdadi, Mohamed; Saito, Masahico
10
2009
DNA recombination through assembly graphs. Zbl 1211.05171
Angeleska, Angela; Jonoska, Nataša; Saito, Masahico
10
2009
A lower bound for the number of Reidemeister moves of type III. Zbl 1106.57003
Carter, J. Scott; Elhamdadi, Mohamed; Saito, Masahico; Satoh, Shin
10
2006
Algebraic properties of quandle extensions and values of cocycle knot invariants. Zbl 1361.57005
Clark, W. Edwin; Saito, Masahico
9
2016
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
8
2013
Surfaces in 3-space that do not lift to embeddings in 4-space. Zbl 0910.57009
Carter, J. Scott; Saito, Masahico
8
1998
Knotted surfaces, braid movies, and beyond. Zbl 0859.57027
Carter, J. Scott; Saito, Masahico
8
1994
Quandle coloring and cocycle invariants of composite knots and abelian extensions. Zbl 1359.57005
Clark, W. Edwin; Saito, Masahico; Vendramin, Leandro
8
2016
Homology for quandles with partial group operations. Zbl 1373.57028
Carter, John; Ishii, Atsushi; Saito, Masahico; Tanaka, Kokoro
7
2017
Alexander numbering of knotted surface diagrams. Zbl 0976.57025
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
6
2000
Braids and movies. Zbl 0889.57034
Carter, J. Scott; Saito, Masahico
6
1996
On formulations and solutions of simplex equations. Zbl 1044.82531
Carter, J. Scott; Saito, Masahico
5
1996
Singularities of the projections of surfaces in 4-space. Zbl 1051.57033
Carrara, Vera; Carter, J. Scott; Saito, Masahico
5
2001
Four-regular graphs with rigid vertices associated to DNA recombination. Zbl 1287.05063
Burns, Jonathan; Dolzhenko, Egor; Jonoska, Nataša; Muche, Tilahun; Saito, Masahico
5
2013
Ribbon concordance of surface-knots via quandle cocycle invariants. Zbl 1102.57012
Carter, J. Scott; Saito, Masahico; Satoh, Shin
5
2006
Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces. Zbl 1420.57068
Carter, J. Scott; Oshiro, Kanako; Saito, Masahico
5
2010
Prefaceset-theoretic Yang-Baxter solutions via Fox calculus. Zbl 1122.57002
Carter, J. Scott; Saito, Masahico
5
2006
Sampling large random knots in a confined space. Zbl 1133.57004
Arsuaga, J.; Blackstone, T.; Diao, Y.; Hinson, K.; Karadayi, E.; Saito, M.
5
2007
Normal Euler classes of knotted surfaces and triple points on projections. Zbl 0871.57024
Carter, J. Scott; Saito, Masahico
5
1997
Diagrammatics, singularities, and their algebraic interpretations. Zbl 0930.57001
Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico
5
1997
The spun trefoil needs four broken sheets. Zbl 1090.57017
Saito, Masahico; Satoh, Shin
5
2005
Boundary components of thickened graphs. Zbl 1065.68549
Jonoska, Natasa; Saito, Masahico
5
2002
Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers. Zbl 1114.57026
Carter, J. Scott; Saito, Masahico; Satoh, Shin
4
2006
Représentations unitaires monomiales d’un groupe discret en particulier du groupe modulaire. Zbl 0279.22004
Saito, M.
4
1974
On the unoriented Sato-Levine invariant. Zbl 0809.57001
Saito, Masahico
4
1993
Syzygies among elementary string interactions in 2+1 dimensions. Zbl 0744.57010
Carter, J. Scott; Saito, Masahico
3
1991
A Seifert algorithm for knotted surfaces. Zbl 0865.57022
Carter, J. Scott; Saito, Masahico
3
1997
Tangle embeddings and quandle cocycle invariants. Zbl 1180.57006
Ameur, Kheira; Elhamdadi, Mohamed; Rose, Tom; Saito, Masahico; Smudde, Chad
3
2008
Cohomology of the adjoint of Hopf algebras. Zbl 1165.16006
Carter, J. Scott; Crans, Alissa S.; Elhamdadi, Mohamed; Saito, Masahico
3
2008
Shifting homomorphisms in quandle cohomology and skeins of cocycle knot invariants. Zbl 1002.57020
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Saito, Masahico
3
2001
Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico
3
1999
Knot diagrams and braid theories in dimension 4. Zbl 0849.57022
Carter, J. S.; Saito, M.
3
1995
Quandle homology theory and cocycle knot invariants. Zbl 1053.57002
Carter, J. Scott; Saito, Masahico
3
2003
Quantum invariants of templates. Zbl 1046.57012
Kauffman, Louis H.; Saito, Masahico; Sullivan, Michael C.
3
2003
Recurring patterns among scrambled genes in the encrypted genome of the ciliate Oxytricha trifallax. Zbl 1348.92117
Burns, Jonathan; Kukushkin, Denys; Chen, Xiao; Landweber, Laura F.; Saito, Masahico; Jonoska, Nataša
2
2016
Insertions yielding equivalent double occurrence words. Zbl 1435.68250
Cruz, Daniel A.; Ferrari, Margherita Maria; Jonoska, Nataša; Nabergall, Lukas; Saito, Masahico
2
2020
Quandle identities and homology. Zbl 1387.57023
Clark, W. Edwin; Saito, Masahico
2
2017
Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles. Zbl 1377.57007
Clark, W. Edwin; Dunning, Larry A.; Saito, Masahico
2
2017
The 6- and 8-palette numbers of links. Zbl 1365.57008
Nakamura, Takuji; Nakanishi, Yasutaka; Saito, Masahico; Satoh, Shin
2
2017
Bordism of unoriented surfaces in 4-space. Zbl 1022.57015
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico; Satoh, Shin
2
2002
Cohomology of Frobenius algebras and the Yang-Baxter equation. Zbl 1180.16006
Carter, J. Scott; Crans, Alissa S.; Elhamdadi, Mohamed; Karadayi, Enver; Saito, Masahico
2
2008
Polynomial cocycles of Alexander quandles and applications. Zbl 1187.57003
Ameur, Kheira; Saito, Masahico
2
2009
RNA-guided DNA assembly. Zbl 1451.92211
Angeleska, Angela; Jonoska, Nataša; Saito, Masahico; Landweber, Laura F.
1
2007
Continuous cohomology of topological quandles. Zbl 1432.57011
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2019
Longitudinal mapping knot invariant for SU(2). Zbl 1401.57009
Clark, W. Edwin; Saito, Masahico
1
2018
Heap and ternary self-distributive cohomology. Zbl 1487.18015
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2021
Higher arity self-distributive operations in cascades and their cohomology. Zbl 1491.57003
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2021
Patterns and distances in words related to DNA rearrangement. Zbl 1387.68191
Jonoska, Nataša; Nabergall, Lukas; Saito, Masahico
1
2017
Twist regions and coefficients stability of the colored Jones polynomial. Zbl 1418.57006
Elhamdadi, Mohamed; Hajij, Mustafa; Saito, Masahico
1
2018
Creating 3-dimensional graph structures with DNA. Zbl 0941.68100
Jonoska, Nataša; Karl, Stephen A.; Saito, Masahico
1
1999
The palette numbers of 2-bridge knots. Zbl 1372.57019
Nakamura, Takuji; Nakanishi, Yasutaka; Saito, Masahico; Satoh, Shin
1
2017
Rewriting rule chains modeling DNA rearrangement pathways. Zbl 1284.68314
Angeleska, Angela; Jonoska, Nataša; Saito, Masahico
1
2012
A note on cobordism of surface links in \(S^ 4\). Zbl 0721.57013
Saito, Masahico
1
1991
On finiteness of certain Vassiliev invariants. Zbl 0888.57002
Kauffman, Louis H.; Saito, Masahico; Sawin, Stephen F.
1
1997
A diagrammatic theory of knotted surfaces. Zbl 0838.57015
Carter, J. Scott; Saito, Masahico
1
1993
Genus ranges of 4-regular rigid vertex graphs. Zbl 1323.05037
Buck, Dorothy; Dolzhenko, Egor; Jonoska, Natasa; Saito, Masahico; Valencia, Karin
1
2015
Algebraic and topological models for DNA recombinant processes. Zbl 1117.92324
Jonoska, Nataša; Saito, Masahico
1
2004
Skein theoretic approach to Yang-Baxter homology. Zbl 1484.16042
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2021
Heap and ternary self-distributive cohomology. Zbl 1487.18015
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2021
Higher arity self-distributive operations in cascades and their cohomology. Zbl 1491.57003
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2021
Skein theoretic approach to Yang-Baxter homology. Zbl 1484.16042
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2021
Insertions yielding equivalent double occurrence words. Zbl 1435.68250
Cruz, Daniel A.; Ferrari, Margherita Maria; Jonoska, Nataša; Nabergall, Lukas; Saito, Masahico
2
2020
Continuous cohomology of topological quandles. Zbl 1432.57011
Elhamdadi, Mohamed; Saito, Masahico; Zappala, Emanuele
1
2019
Longitudinal mapping knot invariant for SU(2). Zbl 1401.57009
Clark, W. Edwin; Saito, Masahico
1
2018
Twist regions and coefficients stability of the colored Jones polynomial. Zbl 1418.57006
Elhamdadi, Mohamed; Hajij, Mustafa; Saito, Masahico
1
2018
Homology for quandles with partial group operations. Zbl 1373.57028
Carter, John; Ishii, Atsushi; Saito, Masahico; Tanaka, Kokoro
7
2017
Quandle identities and homology. Zbl 1387.57023
Clark, W. Edwin; Saito, Masahico
2
2017
Computations of quandle 2-cocycle knot invariants without explicit 2-cocycles. Zbl 1377.57007
Clark, W. Edwin; Dunning, Larry A.; Saito, Masahico
2
2017
The 6- and 8-palette numbers of links. Zbl 1365.57008
Nakamura, Takuji; Nakanishi, Yasutaka; Saito, Masahico; Satoh, Shin
2
2017
Patterns and distances in words related to DNA rearrangement. Zbl 1387.68191
Jonoska, Nataša; Nabergall, Lukas; Saito, Masahico
1
2017
The palette numbers of 2-bridge knots. Zbl 1372.57019
Nakamura, Takuji; Nakanishi, Yasutaka; Saito, Masahico; Satoh, Shin
1
2017
Algebraic properties of quandle extensions and values of cocycle knot invariants. Zbl 1361.57005
Clark, W. Edwin; Saito, Masahico
9
2016
Quandle coloring and cocycle invariants of composite knots and abelian extensions. Zbl 1359.57005
Clark, W. Edwin; Saito, Masahico; Vendramin, Leandro
8
2016
Recurring patterns among scrambled genes in the encrypted genome of the ciliate Oxytricha trifallax. Zbl 1348.92117
Burns, Jonathan; Kukushkin, Denys; Chen, Xiao; Landweber, Laura F.; Saito, Masahico; Jonoska, Nataša
2
2016
Genus ranges of 4-regular rigid vertex graphs. Zbl 1323.05037
Buck, Dorothy; Dolzhenko, Egor; Jonoska, Natasa; Saito, Masahico; Valencia, Karin
1
2015
Quandle colorings of knots and applications. Zbl 1302.57016
Clark, W. Edwin; Elhamdadi, Mohamed; Saito, Masahico; Yeatman, Timothy
23
2014
Connected quandles associated with pointed abelian groups. Zbl 1279.57009
Clark, W. Edwin; Elhamdadi, Mohamed; Hou, Xiang-Dong; Saito, Masahico; Yeatman, Timothy
8
2013
Four-regular graphs with rigid vertices associated to DNA recombination. Zbl 1287.05063
Burns, Jonathan; Dolzhenko, Egor; Jonoska, Nataša; Muche, Tilahun; Saito, Masahico
5
2013
Rewriting rule chains modeling DNA rearrangement pathways. Zbl 1284.68314
Angeleska, Angela; Jonoska, Nataša; Saito, Masahico
1
2012
The minimum number of Fox colors and quandle cocycle invariants. Zbl 1220.57003
Saito, Masahico
13
2010
Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces. Zbl 1420.57068
Carter, J. Scott; Oshiro, Kanako; Saito, Masahico
5
2010
Virtual knot invariants from group biquandles and their cocycles. Zbl 1186.57004
Carter, J. Scott; Silver, Daniel S.; Williams, Susan G.; Elhamdadi, Mohamed; Saito, Masahico
10
2009
DNA recombination through assembly graphs. Zbl 1211.05171
Angeleska, Angela; Jonoska, Nataša; Saito, Masahico
10
2009
Polynomial cocycles of Alexander quandles and applications. Zbl 1187.57003
Ameur, Kheira; Saito, Masahico
2
2009
Cohomology of categorical self-distributivity. Zbl 1193.18009
Carter, J. Scott; Crans, Alissa S.; Elhamdadi, Mohamed; Saito, Masahico
17
2008
Tangle embeddings and quandle cocycle invariants. Zbl 1180.57006
Ameur, Kheira; Elhamdadi, Mohamed; Rose, Tom; Saito, Masahico; Smudde, Chad
3
2008
Cohomology of the adjoint of Hopf algebras. Zbl 1165.16006
Carter, J. Scott; Crans, Alissa S.; Elhamdadi, Mohamed; Saito, Masahico
3
2008
Cohomology of Frobenius algebras and the Yang-Baxter equation. Zbl 1180.16006
Carter, J. Scott; Crans, Alissa S.; Elhamdadi, Mohamed; Karadayi, Enver; Saito, Masahico
2
2008
Linking of uniform random polygons in confined spaces. Zbl 1123.57005
Arsuaga, J.; Blackstone, T.; Diao, Y.; Karadayi, E.; Saito, M.
11
2007
Sampling large random knots in a confined space. Zbl 1133.57004
Arsuaga, J.; Blackstone, T.; Diao, Y.; Hinson, K.; Karadayi, E.; Saito, M.
5
2007
RNA-guided DNA assembly. Zbl 1451.92211
Angeleska, Angela; Jonoska, Nataša; Saito, Masahico; Landweber, Laura F.
1
2007
A lower bound for the number of Reidemeister moves of type III. Zbl 1106.57003
Carter, J. Scott; Elhamdadi, Mohamed; Saito, Masahico; Satoh, Shin
10
2006
Ribbon concordance of surface-knots via quandle cocycle invariants. Zbl 1102.57012
Carter, J. Scott; Saito, Masahico; Satoh, Shin
5
2006
Prefaceset-theoretic Yang-Baxter solutions via Fox calculus. Zbl 1122.57002
Carter, J. Scott; Saito, Masahico
5
2006
Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers. Zbl 1114.57026
Carter, J. Scott; Saito, Masahico; Satoh, Shin
4
2006
Cocycle knot invariants from quandle modules and generalized quandle homology. Zbl 1089.57008
Carter, J. Scott; El Hamdadi, Mohamed; Graña, Matias; Saito, Masahico
37
2005
The spun trefoil needs four broken sheets. Zbl 1090.57017
Saito, Masahico; Satoh, Shin
5
2005
Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles. Zbl 1067.57006
Carter, J. Scott; Elhamdadi, Mohamed; Saito, Masahico
60
2004
Surfaces in 4-space. Zbl 1078.57001
Carter, Scott; Kamada, Seiichi; Saito, Masahico
29
2004
Algebraic and topological models for DNA recombinant processes. Zbl 1117.92324
Jonoska, Nataša; Saito, Masahico
1
2004
Quandle cohomology and state-sum invariants of knotted curves and surfaces. Zbl 1028.57003
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Langford, Laurel; Saito, Masahico
190
2003
Extensions of quandles and cocycle knot invariants. Zbl 1049.57008
Carter, J. Scott; Elhamdadi, Mohamed; Nikiforou, Marina Appiou; Saito, Masahico
31
2003
Diagrammatic computations for quandles and cocycle knot invariants. Zbl 1040.57003
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
13
2003
Quandle homology theory and cocycle knot invariants. Zbl 1053.57002
Carter, J. Scott; Saito, Masahico
3
2003
Quantum invariants of templates. Zbl 1046.57012
Kauffman, Louis H.; Saito, Masahico; Sullivan, Michael C.
3
2003
Stable equivalence of knots on surfaces and virtual knot cobordisms. Zbl 1004.57007
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
112
2002
Twisted quandle homology theory and cocycle knot invariants. Zbl 0991.57005
Carter, J. Scott; Elhamdadi, Mohamed; Saito, Masahico
29
2002
Boundary components of thickened graphs. Zbl 1065.68549
Jonoska, Natasa; Saito, Masahico
5
2002
Bordism of unoriented surfaces in 4-space. Zbl 1022.57015
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico; Satoh, Shin
2
2002
Geometric interpretations of quandle homology. Zbl 1002.57019
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
63
2001
Quandle homology groups, their Betti numbers, and virtual knots. Zbl 0977.55013
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Saito, Masahico
40
2001
Computations of quandle cocycle invariants of knotted curves and surfaces. Zbl 0968.57002
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Saito, Masahico
29
2001
A theorem of Sanderson on link bordisms in dimension \(4\). Zbl 0973.57010
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico; Satoh, Shin
13
2001
Singularities of the projections of surfaces in 4-space. Zbl 1051.57033
Carrara, Vera; Carter, J. Scott; Saito, Masahico
5
2001
Shifting homomorphisms in quandle cohomology and skeins of cocycle knot invariants. Zbl 1002.57020
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Saito, Masahico
3
2001
Alexander numbering of knotted surface diagrams. Zbl 0976.57025
Carter, J. Scott; Kamada, Seiichi; Saito, Masahico
6
2000
State-sum invariants of knotted curves and surfaces from quandle cohomology. Zbl 0995.57004
Carter, J. Scott; Jelsovsky, Daniel; Kamada, Seiichi; Langford, Laurel; Saito, Masahico
26
1999
Structures and diagrammatics of four dimensional topological lattice field theories. Zbl 0938.57014
Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico
12
1999
Hidden Stasheff polytopes in algebraic K-theory and in the space of Morse functions. Zbl 0932.19002
Kapranov, Mikhail M.; Saito, Masahico
3
1999
Creating 3-dimensional graph structures with DNA. Zbl 0941.68100
Jonoska, Nataša; Karl, Stephen A.; Saito, Masahico
1
1999
Knotted surfaces and their diagrams. Zbl 0904.57010
Carter, J. Scott; Saito, Masahico
120
1998
Surfaces in 3-space that do not lift to embeddings in 4-space. Zbl 0910.57009
Carter, J. Scott; Saito, Masahico
8
1998
A combinatorial description of knotted surfaces and their isotopies. Zbl 0870.57032
Carter, J. Scott; Rieger, Joachim H.; Saito, Masahico
23
1997
Normal Euler classes of knotted surfaces and triple points on projections. Zbl 0871.57024
Carter, J. Scott; Saito, Masahico
5
1997
Diagrammatics, singularities, and their algebraic interpretations. Zbl 0930.57001
Carter, J. Scott; Kauffman, Louis H.; Saito, Masahico
5
1997
A Seifert algorithm for knotted surfaces. Zbl 0865.57022
Carter, J. Scott; Saito, Masahico
3
1997
On finiteness of certain Vassiliev invariants. Zbl 0888.57002
Kauffman, Louis H.; Saito, Masahico; Sawin, Stephen F.
1
1997
The classical and quantum \(6j\)-symbols. Zbl 0851.17001
Carter, J. Scott; Flath, Daniel E.; Saito, Masahico
22
1996
Braids and movies. Zbl 0889.57034
Carter, J. Scott; Saito, Masahico
6
1996
On formulations and solutions of simplex equations. Zbl 1044.82531
Carter, J. Scott; Saito, Masahico
5
1996
Knot diagrams and braid theories in dimension 4. Zbl 0849.57022
Carter, J. S.; Saito, M.
3
1995
Knotted surfaces, braid movies, and beyond. Zbl 0859.57027
Carter, J. Scott; Saito, Masahico
8
1994
Reidemeister moves for surface isotopies and their interpretation as moves to movies. Zbl 0808.57020
Carter, J. Scott; Saito, Masahico
36
1993
On the unoriented Sato-Levine invariant. Zbl 0809.57001
Saito, Masahico
4
1993
A diagrammatic theory of knotted surfaces. Zbl 0838.57015
Carter, J. Scott; Saito, Masahico
1
1993
Cancelling branch points on projections of surfaces in 4-space. Zbl 0765.57016
Carter, J. Scott; Saito, Masahico
18
1992
Syzygies among elementary string interactions in 2+1 dimensions. Zbl 0744.57010
Carter, J. Scott; Saito, Masahico
3
1991
A note on cobordism of surface links in \(S^ 4\). Zbl 0721.57013
Saito, Masahico
1
1991
Représentations unitaires monomiales d’un groupe discret en particulier du groupe modulaire. Zbl 0279.22004
Saito, M.
4
1974
Représentations unitaires des groupes symplectiques. (Unitary representations of symmetric groups.). Zbl 0232.22025
Saito, M.
13
1972
all top 5

Cited by 543 Authors

40 Saito, Masahico
38 Nelson, Sam
30 Kamada, Seiichi
27 Carter, J. Scott
27 Kauffman, Louis Hirsch
26 Elhamdadi, Mohamed
17 Kamada, Naoko
17 Oshiro, Kanako
17 Satoh, Shin
16 Przytycki, Józef Henryk
12 Lebed, Victoria
12 Nosaka, Takefumi
12 Shima, Akiko
11 Nagase, Teruo
9 Ishii, Atsushi
9 Iwakiri, Masahide
9 Lee, Sang Youl
9 Lopes, Pedro
9 Nakamura, Inasa
9 Vendramin, Leandro
8 Bardakov, Valeriĭ Georgievich
8 Ceniceros, Jose
8 Cheng, Zhiyun
8 Churchill, Indu R. U.
8 Jonoska, Nataša
8 Kim, Jieon
8 Manturov, Vassiliĭ Olegovich
8 Niebrzydowski, Maciej
8 Yang, Seung Yeop
8 Yashiro, Tsukasa
7 Rump, Wolfgang
7 Singh, Mahender
7 Tanaka, Kokoro
6 Chrisman, Micah Whitney
6 Clark, W. Edwin
6 Gao, Hongzhu
6 Hajij, Mustafa
5 Bae, Yongju
5 Boden, Hans U.
5 Bonatto, Marco
5 Farinati, Marco Andrés
5 Gügümcü, Neslihan
5 Im, Young Ho
5 Inoue, Ayumu
5 Nasybullov, Timur Rinatovich
5 Takeda, Yasushi
5 Talalaev, Dmitry V.
5 Zappala, Emanuele
4 Caprau, Carmen Livia
4 Dehornoy, Patrick
4 Dye, Heather Ann
4 García Galofre, Juliana
4 Graña, Matías
4 Hayashi, Chuichiro
4 Ito, Tetsuya
4 Jelsovsky, Daniel
4 Kadokami, Teruhisa
4 Khovanov, Mikhail G.
4 Lee, Kyeonghui
4 Martins, João Nuno Goncalves Faria
4 Nakamura, Takuji
4 Nakanishi, Yasutaka
4 Nowik, Tahl
4 Saeki, Osamu
4 Silver, Daniel S.
4 Stanovský, David
4 Turaev, Vladimir Georgievich
4 Williams, Susan G.
4 Xu, Mengjian
3 Audoux, Benjamin
3 Bartholomew, Andrew
3 Eisermann, Michael
3 Fenn, Roger A.
3 Garoufalidis, Stavros
3 Gaudreau, Robin
3 Hass, Joel
3 Hayashi, Miwa
3 Henrich, Allison K.
3 Joung, Yewon
3 Kawauchi, Akio
3 Kim, Byeorhi
3 Kohno, Toshitake
3 Korablev, Philipp Glebovich
3 Korepanov, Igor Germanovich
3 Lambropoulou, Sofia S. F.
3 Langford, Laurel
3 Mochizuki, Takuro
3 Mohamad, Abdul Adheem M.
3 Mukherjee, Sujoy
3 Murao, Tomo
3 Orlandini, Enzo
3 Oyamaguchi, Natsumi
3 Putyra, Krzysztof K.
3 Rushworth, William
3 Wagemann, Friedrich
3 Wang, Xiao
3 Whittington, Stuart G.
3 Winter, Blake Karl
3 Yetter, David N.
2 Abchir, Hamid
...and 443 more Authors
all top 5

Cited in 115 Serials

220 Journal of Knot Theory and its Ramifications
66 Topology and its Applications
23 Algebraic & Geometric Topology
20 Transactions of the American Mathematical Society
17 Advances in Mathematics
17 Journal of Pure and Applied Algebra
16 Journal of Algebra
15 Proceedings of the American Mathematical Society
10 Osaka Journal of Mathematics
10 Journal of Algebra and its Applications
8 Journal of the Mathematical Society of Japan
7 Communications in Algebra
7 Journal of High Energy Physics
7 Quantum Topology
6 Geometriae Dedicata
6 International Journal of Mathematics
5 Communications in Mathematical Physics
5 Duke Mathematical Journal
5 Theoretical Computer Science
5 Journal of Mathematical Sciences (New York)
4 Journal of Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Discrete & Computational Geometry
4 Mediterranean Journal of Mathematics
3 Annales de l’Institut Fourier
3 Fundamenta Mathematicae
3 Hiroshima Mathematical Journal
3 Illinois Journal of Mathematics
3 Inventiones Mathematicae
3 Mathematische Annalen
3 Michigan Mathematical Journal
3 Monatshefte für Mathematik
3 European Journal of Combinatorics
3 Journal of Symbolic Computation
3 Applied Categorical Structures
3 The Electronic Journal of Combinatorics
3 Geometry & Topology
3 Communications in Contemporary Mathematics
3 Living Reviews in Relativity
3 Journal of Physics A: Mathematical and Theoretical
3 Journal of Theoretical Biology
2 International Journal of Modern Physics A
2 Physics Letters. B
2 Theoretical and Mathematical Physics
2 Chaos, Solitons and Fractals
2 Kyungpook Mathematical Journal
2 Mathematische Zeitschrift
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Siberian Mathematical Journal
2 Tokyo Journal of Mathematics
2 Forum Mathematicum
2 Linear Algebra and its Applications
2 Experimental Mathematics
2 Transformation Groups
2 International Journal of Geometric Methods in Modern Physics
2 Proceedings of the Steklov Institute of Mathematics
2 European Journal of Mathematics
2 Open Mathematics
1 Discrete Applied Mathematics
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Physics Reports
1 Reports on Mathematical Physics
1 Bulletin of Mathematical Biology
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Compositio Mathematica
1 Demonstratio Mathematica
1 Journal of Combinatorial Theory. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the Moscow Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Publicacions Matemàtiques
1 Sugaku Expositions
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 International Journal of Algebra and Computation
1 Differential Geometry and its Applications
1 International Journal of Foundations of Computer Science
1 Expositiones Mathematicae
1 Archive for Mathematical Logic
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 The New York Journal of Mathematics
1 Journal of Lie Theory
1 Selecta Mathematica. New Series
1 Electronic Research Announcements of the American Mathematical Society
1 Journal of Mathematical Chemistry
1 Doklady Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Revista Matemática Complutense
1 New Journal of Physics
1 Communications of the Korean Mathematical Society
1 La Gaceta de la Real Sociedad Matemática Española
1 Physical Review Letters
1 Journal of Zhejiang University. Science
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
...and 15 more Serials
all top 5

Cited in 40 Fields

544 Manifolds and cell complexes (57-XX)
96 Group theory and generalizations (20-XX)
65 Algebraic topology (55-XX)
60 Associative rings and algebras (16-XX)
52 Category theory; homological algebra (18-XX)
45 Quantum theory (81-XX)
42 Nonassociative rings and algebras (17-XX)
36 Combinatorics (05-XX)
15 Computer science (68-XX)
15 Biology and other natural sciences (92-XX)
11 Relativity and gravitational theory (83-XX)
10 Differential geometry (53-XX)
9 Algebraic geometry (14-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Topological groups, Lie groups (22-XX)
6 General algebraic systems (08-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Functional analysis (46-XX)
4 Number theory (11-XX)
4 Convex and discrete geometry (52-XX)
4 Probability theory and stochastic processes (60-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Mathematical logic and foundations (03-XX)
2 Difference and functional equations (39-XX)
2 General topology (54-XX)
2 Optics, electromagnetic theory (78-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Numerical analysis (65-XX)
1 Fluid mechanics (76-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year