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Reidemeister/Roseman-type Moves to Embedded Foams in 4-dimensional Space, to appear in New Ideas in Low Dimensional Topology, ed. Kauffman and Manturov.
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with Atsushi Ishii. A knotted 2-dimensional foam with non-trivial cocycle invariant. Published in unrefereed conference Proceedings, Intelligence of Low Dimensional
Topology, RIMS.
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with Seiichi Kamada: Braids and Branched Coverings of Dimension Three, Published in unrefereed conference Proceedings, Intelligence of Low Dimensional
Topology, RIMS, with Seiichi Kamada.
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Classical Knot Theory, Symmetry (2012), 4, 225-250.
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A Survey of Quandle Ideas, preprint, to appear in conference proceedings of Trieste form May 2009.
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with Masahico Saito, Frobenius Modules and Essential Surface Cobordisms, preprint.
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with Masahico Saito, Algebraic Structures Derived from Foams, to appear J. Gen. Lie Theory Appl.
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with Masahico Saito and Kanako Oshiro, Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces. Topology Appl. 157 (2010), no. 5, 857-869.
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with Abhijit Champanerkar, A geometric method to compute some elementary integrals, preprint.
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with Alissa Crans, Mohamed Elhamdadi, Masahico Saito, Cohomology of Algebraic Identities and R-Matrices, preprint.
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with Alissa Crans, Mohamed Elhamdadi, Masahico Saito, Cohomology of Categorical Self-Distributivity, Journal of Homotopy Theory and Related Structures 3 (2008), no. 1, 13-63.
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with Alissa Crans, Mohamed Elhamdadi, Masahico Saito, Cohomology of the Adjoint Map of Hopf Algebras. J. Gen. Lie Theory Appl. 2 (2008), no. 1, 19--34.
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with Masahico Saito, Cohomology for self-distributivity in coalgebras. Intelligence of low dimensional topology 2006, 9--17, Ser. Knots Everything, 40,
World Sci. Publ., Hackensack, NJ, 2007.
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with Masahico Saito, Shin Satoh, Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobson numbers. Proc. Amer. Math. Soc. 134 (2006), no. 9, 2779--2783.
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with Masahico Saito, Set Theoretic Yang-Baxter Solutions via Fox Calculus. J. Knot Theory Ramifications 15 (2006), no. 8, 949--956.
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with Mohamed Elhamdadi, Shin Satoh and Masahico Saito, A lower bound for the number fo Reidemeister moves of type III, Topology Appl. 153 (2006), no. 15, 2788--2794.
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with Shin Satoh and Masahico Saito, Ribbon concordance of surface knots via quandle cocycle invariants, J. Aust. Math. Soc. 80 (2006), no. 1, 131--147.
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with Mohamed Elhamdadi, Matias Grana, and Masahico Saito, Cocycle knot invariants from quandle modules and generalized quandle homology. Osaka J. Math. 42 (2005), no. 3 499--541.
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with Mohamed Elhamdadi and Masahico Saito, Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from
generalizations of quandles. Fund. Math. 184 (2004), 31--54.
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with Masahico Saito. Quandle homology theory and cocycle knot invariants. Topology and geometry of manifolds (Athens, GA, 2001), 249--268, Proc. Sympos. Pure
Math., 71, Amer. Math. Soc., Providence, RI, 2003.
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with Masahico Saito and Seiichi Kamada, Diagrammatic computations for quandles and cocycle knot invariants. Diagrammatic morphisms and applications (San Francisco, CA, 2000), 51--74, Contemp.
Math., 318, Amer. Math. Soc., Providence, RI, 2003.
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with Mohamed Elhamdadi, Angela Harris, Marina Nikiforou and Masahico Saito, Cocycle knot invariants, quandle extensions, and Alexander matrices. Low-dimensional
topology of tomorrow (Japanese) (Kyoto, 2002).
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with Shin Satoh, Masahico Saito and Seiichi Kamada, Bordism of unoriented surfaces in 4-space. Michigan Math. J. 50 (2002), no. 3, 575--591.
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with Masahico Saito and Seiichi Kamada, Stable equivalence of knots on surfaces and virtual knot cobordisms. Knots 2000 Korea, Vol. 1 (Yongpyong). J. Knot Theory Ramifications 11 (2002), no.
3, 311--322.
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with Mohamed Elhamdadi, and Masahico Saito, Twisted quandle homology theory and cocycle knot invariants. Algebr. Geom. Topol. 2 (2002), 95--135.
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with Shin Satoh, Masahico Saito and Seiichi Kamada, A theorem of Sanderson on link bordisms in dimension 4, Algebr. Geom. Topol. 1 (2001), 299--310.
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with Daniel Jelsovsky, Masahico Saito and Seiichi Kamada, Shifting homomorphisms in quandle cohomology and skeins of cocycle knot invariants. J. Knot Theory Ramifications 10 (2001), no. 4, 579--596.
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with Daniel Jelsovsky, Masahico Saito and Seiichi Kamada, Geometric interpretations of quandle homology. J. Knot Theory Ramifications 10 (2001), no. 3, 345--386.
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with Daniel Jelsovsky, Masahico Saito and Seiichi Kamada, Quandle Homology Groups, Their Betti Numbers, and Virtual Knots. J. Pure Appl. Algebra 157 (2001), no. 2-3, 135--155.
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with Daniel Jelsovsky, Masahico Saito and Seiichi Kamada, Computations of quandle cocycle invariants of knotted curves and surfaces. Adv. Math. 157 (2001), no. 1, 36--94.
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with Daniel Jelsovsky, Masahico Saito, Seiichi Kamada, and Laurel Langford, Quandle cohomology and state-sum invariants of knotted curves and surfaces. Trans. Amer. Math. Soc. 355 (2003), no. 10, 3947--3989.
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with Louis H. Kauffman and Masahico Saito, Structures and Diagrammatics of 4-Dimensional Topological Lattice Field Theories, Advances in Math., 146, 39-100 (1999).
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with Masahico Saito and Seiichi Kamada, Alexander numbering of knotted surface diagrams, Proc. Amer. Math. Soc., 128 (2000), no. 12, 3761--3771.
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with Masahico Saito and Vera Carrara, Singularities of Surface Maps and Knots, Pacific J. Math. 199 (2001), no. 1, 21--40.
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with Sostenes Lins, Thin-G theory and local moves for gems, Adv. Math. 143 (1999), no. 2, 251--283. Advances in Mathematics, 127, No. 1, April
15 (1997), 1-51.
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with Louis H. Kauffman and Masahico Saito, Diagrammatics, Singularities, and Their Algebraic Interpretations, 10th Brazilian Topology Meeting (São Carlos, 1996). Mat. Contemp. 13 (1997), 21--115.
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with Masahico Saito, Surfaces in 3-Space that Do Not Lift to Embeddings in 4-Space, to appear in Conference Proceedings of the 1995 Warsaw Workshop on Knot Theory.
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with Masahico Saito, and Joachim Rieger, A Combinatorial Description of Knotted Surfaces and Their Isotopies, Advances in Mathematics, 127, No. 1, April 15 (1997), 1-51.
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with Masahico Saito, Normal Euler Classes of Knotted Surfaces and Triple Points on Their Projections, Proc. Amer. Math. Soc., 125 (1997), no. 2, 617-623.
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with Masahico Saito, On Formulations and Solutions of Simplex Equations, International Journal of Modern Physics A, Vol 11, No 24, (1996), 4453-4463.
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with Masahico Saito, Braid and Movies, Journal of Knot Theory and Its Ramifications, Vol 5, No. 5 (1996), 589-608.
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with Masahico Saito, A Seifert Algorithm for Knotted Surfaces, Topology, Vol 36, No. 1 (1996), 179-201.
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with Masahico Saito, Knot Diagrams and Braid Theories in Dimension 4 Real and Complex Singularities, ed. W. L Marar, Pitman Research Notes in Mathematics, Longman Publishing (1995).
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with Masahico Saito, New Solutions to the Permutohedron Equation in ``Quantum Topology Kansas 1993,'' ed. David Yetter, World Science Publishing Company
(1994), 51-65.
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with Masahico Saito, Knotted Surfaces, Braid Movies, and Beyond, in ``Quantum Gravity,'' ed. John Baez, Oxford University Press (1994), 191-229.
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with Masahico Saito, Reidemeister Moves for Surface Isotopies and Their Interpretations As Moves to Movies, Journal of Knot Theory and its Ramifications Vol 2, No 3 (1993), 251-284.
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Solving Inequalities, Alabama Journal of Mathematics, Vol 1, No.1 \& 2, (1992), 31-35.
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with Masahico Saito, A Diagrammatic Theory of Knotted Surfaces, in ``Quantum Topology,'' ed. Randy Baadhio and Louis Kauffman, World Science Publishing
(Singapore 1993), 91-115.
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with Masahico Saito, Planar Generalizations of the Yang Baxter Equation and Their Skeins, Journal of Knot Theory and its Ramifications Vol 1, No. 2 (1992), 207-217.
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with Masahico Saito, Syzygies among Elementary String Interactions in Dimension 2+1, Letters in Mathematical Physics 23 (1991), 287-300.
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Extending Immersed Circles in the Sphere to Immersed disks in the Ball, Comm. Math. Helv. 67 (1992), 337-348.
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with Masahico Saito, Canceling Branch Points on Projections of Surfaces in 4-Space, Proc. of the AMS. 116, No 1. (Sept 1992), 229-237.
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Closed Curves that Never Extend to Proper Maps of Disks, Proc. of the AMS 113, No. 3 (Nov 1991), 879-888.
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Extending Immersed Curves to Proper Immersions of Surface, Topology and its Applications 40 (1991), 287-306.
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Classifying Immersed Curves, Proc. of the AMS 111, No.1 (Jan. 1991), 281-287.
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Immersed Projective Planes in Lens Spaces, Proc. of the AMS 106, No. 1 (May 1989), 251-260.
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Immersed Codimension One Projective Spaces in Spherical Space Forms, Proc. of the AMS 105, No. 1, January 1989, 254-257.
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with Ki Hyoung Ko, Triple Points of Immersed Surfaces in Three Dimensional Manifolds, Topology and Its Applications 32, (1989), 149-159.
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Surgery on the Equatorial Immersion in Low Dimensions, Differential Topology Proceedings, Siegen 1987, Springer LMN 1350, U. Koschorke,
ed.
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Surgery on the Equatorial Immersion I, Illinois Journal of Mathematics 32, No. 4, Winter 1988, 703-715.
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Simplifying the Self Intersection Sets of Codimension One Immersions in (n+1)-space, Houston Journal of Mathematics 13, No. 3, 353-366.
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A Further Generalization of Boy's Surface, Houston Journal of Mathematics 12, No. 1 (1986), 11-31.
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On Generalizing Boy's Surface: Constructing a Generator of the Third Stable Stem, Trans. of the AMS 289, No. 1 (1986), 103-121.
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Surgery on Codimension One Immersions in (n+1)-space: Removing n-tuple Points, Trans. of the AMS 298, No. 1, (1986), 83-102.
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Surgery Theory of Immersions, Proc. Northwestern Homotopy Theory Conf. (Miller and Priddy, eds.), AMS Contemp.
Math Series 19 (1983), 23-37.
