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研究成果

年別の研究成果 1987 1993 1995 1997 2005 2008 2009 2013 2016 2017 2018 2022

• 1038 被引用数
• 15 h-index
• 34 Article
• 1 Comment/debate

年別の研究成果

年別の研究成果

検索結果

• A state model for the multi-variable alexander polynomial

  Murakami, J., 1993 1月, In: Pacific Journal of Mathematics. 157, 1, p. 109-135 27 p.

  研究成果: Article › 査読

  Open Access

  • Alexander Polynomial 100%
  • Model 25%
  • Fermions 18%
  • Braid Group 18%
  • Vertex of a graph 17%
  24 被引用数 (Scopus)

• A three-manifold invariant via the Kontsevich integral

  Le, T. T. Q., Murakami, H., Murakami, J. & Ohtsuki, T., 1999 6月 1, In: Osaka Journal of Mathematics. 36, 2, p. 365-395 31 p.

  研究成果: Article › 査読
  13 被引用数 (Scopus)

• A volume formula for hyperbolic tetrahedra in terms of edge lengths

  Murakami, J. & Ushijima, A., 2005 12月, In: Journal of Geometry. 83, 1-2, p. 153-163 11 p.

  研究成果: Article › 査読

  • Volume formula 100%
  • Triangular pyramid 74%
  • Dilogarithm 30%
  • Closed 25%
  • Invariant 11%
  20 被引用数 (Scopus)

• Centralizer algebras of the mixed tensor representations of quantum group U_q(gl(n, C))

  Kosuda, M. & Murakami, J., 1993, In: Osaka Journal of Mathematics. 30, 3, p. 475-507 33 p.

  研究成果: Article › 査読
  29 被引用数 (Scopus)

• Colored alexander invariants and cone-manifolds

  Murakami, J., 2008 6月 1, In: Osaka Journal of Mathematics. 45, 2, p. 541-564 24 p.

  研究成果: Article › 査読

  • Cone 100%
  • Knot 74%
  • Borromean rings 71%
  • Invariant 70%
  • A-polynomial 66%
  14 被引用数 (Scopus)

• Combinatorial Decompositions, Kirillov–Reshetikhin Invariants, and the Volume Conjecture for Hyperbolic Polyhedra

  Kolpakov, A. & Murakami, J., 2018 4月 3, In: Experimental Mathematics. 27, 2, p. 193-207 15 p.

  研究成果: Article › 査読

  • Polyhedron 100%
  • Decompose 67%
  • Invariant 58%
  • Triangular pyramid 30%
  • Shrinking 28%

• DIAGRAMMATIC CONSTRUCTION OF REPRESENTATIONS OF SMALL QUANTUM sl ₂

  Blanchet, C., Renzi, M. D. & Murakami, J., 2021, (Accepted/In press) In: Transformation Groups.

  研究成果: Article › 査読

  Open Access

  • Monoidal Category 100%
  • Roots of Unity 88%
  • Quantum Groups 87%
  • Odd 60%
  1 被引用数 (Scopus)

• From colored Jones invariants to logarithmic invariants

  Murakami, J., 2018, In: Tokyo Journal of Mathematics. 41, 2, p. 453-475 23 p.

  研究成果: Article › 査読

  • Logarithmic 100%
  • Knot 79%
  • Invariant 66%
  • Hyperbolic Volume 45%
  • Jacobson Radical 36%
  1 被引用数 (Scopus)

• Generalized kashaev invariants for knots in three manifolds

  Murakami, J., 2017, In: Quantum Topology. 8, 1, p. 35-73 39 p.

  研究成果: Article › 査読

  • Three-manifolds 100%
  • complement 80%
  • Knot 69%
  • lenses 57%
  • Invariant 43%
  10 被引用数 (Scopus)

• Invariants of handlebody-knots via yokota's invariants

  Mizusawa, A. & Murakami, J., 2013 10月, In: Journal of Knot Theory and its Ramifications. 22, 11, 1350068.

  研究成果: Article › 査読

  • Handlebody 100%
  • Knot 65%
  • Invariant 41%
  • Spatial Graph 18%
  • Kauffman Bracket 17%
  4 被引用数 (Scopus)

• Kashaev's conjecture and the chern-simons invariants of knots and links

  Murakami, H., Murakami, J., Okamoto, M., Takata, T. & Yokota, Y., 2002, In: Experimental Mathematics. 11, 3, p. 427-435 9 p.

  研究成果: Article › 査読

  • Hyperbolic Volume 100%
  • Colored Jones Polynomial 98%
  • Knot 58%
  • Link Invariants 44%
  • Invariant 36%
  41 被引用数 (Scopus)

• Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions

  Le, T. Q. T. & Murakami, J., 1995 3月 24, In: Topology and its Applications. 62, 2, p. 193-206 14 p.

  研究成果: Article › 査読

  • HOMFLY Polynomial 100%
  • Riemann zeta function 65%
  • Chord Diagrams 51%
  • R-matrix 39%
  • Normalization 34%
  75 被引用数 (Scopus)

• Kontsevich's integral for the Kauffman polynomial

  Le, T. T. Q. & Murakami, J., 1996 6月, In: Nagoya Mathematical Journal. 142, p. 39-65 27 p.

  研究成果: Article › 査読

  Open Access
  73 被引用数 (Scopus)

• Logarithmic knot invariants arising from restricted quantum groups

  Murakami, J. & Nagatomo, K., 2008 11月, In: International Journal of Mathematics. 19, 10, p. 1203-1213 11 p.

  研究成果: Article › 査読

  • Knot Invariants 100%
  • Projective Module 87%
  • Quantum Groups 78%
  • Logarithmic 63%
  • Conformal Field Theory 46%
  12 被引用数 (Scopus)

• Non-semisimple 3-manifold invariants derived from the Kauffman bracket

  De Renzi, M. & Murakami, J., 2022, In: Quantum Topology. 13, 2, p. 255-333 79 p.

  研究成果: Article › 査読

  Open Access

  • Kauffman Bracket 100%
  • homology 88%
  • brackets 79%
  • Invariant Manifolds 75%
  • algebra 64%

• On a universal perturbative invariant of 3-manifolds

  Le, T. T. Q., Murakami, J. & Ohtsuki, T., 1998 5月, In: Topology. 37, 3, p. 539-574 36 p.

  研究成果: Article › 査読

  Open Access
  101 被引用数 (Scopus)

• On the volume of a hyperbolic and spherical tetrahedron

  Murakami, J. & Yano, M., 2005, In: Communications in Analysis and Geometry. 13, 2, p. 379-400 22 p.

  研究成果: Article › 査読

  Open Access

  • Triangular pyramid 100%
  • Symbol 96%
  • Symmetry 93%
  • Form 17%
  48 被引用数 (Scopus)

• Optimistic limits of the colored Jones polynomials

  Cho, J. & Murakami, J., 2013, In: Bulletin of the Korean Mathematical Society. 50, 3, p. 641-693 53 p.

  研究成果: Article › 査読

  • Colored Jones Polynomial 100%
  • Hyperbolic Knot 47%
  • Modulo 27%
  • Invariant 18%
  9 被引用数 (Scopus)

• Parallel version of the universal Vassiliev-Kontsevich invariant

  Le, T. T. Q. & Murakami, J., 1997 10月 10, In: Journal of Pure and Applied Algebra. 121, 3, p. 271-291 21 p.

  研究成果: Article › 査読

  Open Access

  • Vassiliev Invariants 100%
  • Knot 63%
  • Wilson Loop 56%
  • Chord Diagrams 53%
  • Universal Enveloping Algebra 43%
  34 被引用数 (Scopus)

• Reidemeister transformations of the potential function and the solution

  Cho, J. & Murakami, J., 2017 10月 1, In: Journal of Knot Theory and its Ramifications. 26, 12, 1750079.

  研究成果: Article › 査読

  • Potential Function 100%
  • Diagram 79%
  • Volume formula 71%
  • Colored Jones Polynomial 68%
  • Hyperbolicity 51%
  2 被引用数 (Scopus)

• Representation of the category of tangles by Kontsevich's iterated integral

  Le, T. Q. T. & Murakami, J., 1995 4月, In: Communications in Mathematical Physics. 168, 3, p. 535-562 28 p.

  研究成果: Article › 査読

  • Iterated integral 100%
  • Tangles 93%
  • Isotopy 14%
  • Invariant 13%
  • End point 13%
  46 被引用数 (Scopus)

• Some limits of the colored alexander invariant of the figure-eight knot and the volume of hyperbolic orbifolds

  Cho, J. & Murakami, J., 2009 9月, In: Journal of Knot Theory and its Ramifications. 18, 9, p. 1271-1286 16 p.

  研究成果: Article › 査読

  • Orbifold 100%
  • Figure 86%
  • Knot 81%
  • Singular Set 54%
  • Invariant 51%
  5 被引用数 (Scopus)

• The colored Jones polynomials and the simplicial volume of a knot

  Murakami, H. & Murakami, J., 2001, In: Acta Mathematica. 186, 1, p. 85-104 20 p.

  研究成果: Article › 査読

  Open Access
  187 被引用数 (Scopus)

• The complex volumes of twist knots

  Cho, J., Murakami, J. & Yokota, Y., 2009 10月, In: Proceedings of the American Mathematical Society. 137, 10, p. 3533-3541 9 p.

  研究成果: Article › 査読

  • Knot 87%
  • Complement 50%
  • Hyperbolic Volume 49%
  • Hyperbolic Knot 46%
  12 被引用数 (Scopus)

• The complex volumes of twist knots via colored jones polynomials

  Cho, J. & Murakami, J., 2010 11月 1, In: Journal of Knot Theory and its Ramifications. 19, 11, p. 1401-1421 21 p.

  研究成果: Article › 査読

  • Colored Jones Polynomial 100%
  • Knot 59%
  • Hyperbolicity 37%
  • Triangulation 32%
  • Complement 25%
  7 被引用数 (Scopus)

• The dual jacobian of a generalised hyperbolic tetrahedron, and volumes of prisms

  Kolpakov, A. & Murakami, J., 2016 6月, In: Tokyo Journal of Mathematics. 39, 1, p. 45-67 23 p.

  研究成果: Article › 査読

  • Prism 100%
  • Triangular pyramid 91%
  • Volume formula 81%
  • Truncated tetrahedron 45%
  • Jacobian matrix 30%
  1 被引用数 (Scopus)

• The kauffman polynomial of links and representation theory

  Murakami, J., 1987, In: Osaka Journal of Mathematics. 24, 4, p. 745-758 14 p.

  研究成果: Article › 査読
  181 被引用数 (Scopus)

• The parallel version of polynomial invariants of links

  Murakami, J., 1989, In: Osaka Journal of Mathematics. 26, 1, p. 1-55 55 p.

  研究成果: Article › 査読
  21 被引用数 (Scopus)

• The Representations of the q-analogue of Brauer's Centralizer Algebras and the Kauffman Polynomial of Links

  Murakami, J., 1990, In: Publications of the Research Institute for Mathematical Sciences. 26, 6, p. 935-945 11 p.

  研究成果: Article › 査読
  23 被引用数 (Scopus)

• The Yamada polynomial of spacial graphs and knit algebras

  Murakami, J., 1993 8月, In: Communications in Mathematical Physics. 155, 3, p. 511-522 12 p.

  研究成果: Article › 査読

  • algebra 100%
  • polynomials 94%
  • Semigroup 79%
  • Iwahori-Hecke Algebra 75%
  • quotients 69%
  6 被引用数 (Scopus)

• Topological quantum field theory for the universal quantum invariant

  Murakami, J. & Ohtsuki, T., 1997, In: Communications in Mathematical Physics. 188, 3, p. 501-520 20 p.

  研究成果: Article › 査読

  • Topological Quantum Field Theory 100%
  • Quantum Invariants 99%
  • axioms 75%
  • Manifolds with Boundary 38%
  • Invariant 38%
  20 被引用数 (Scopus)

• Volume formulas for a spherical tetrahedron

  Murakami, J., 2012 9月, In: Proceedings of the American Mathematical Society. 140, 9, p. 3289-3295 7 p.

  研究成果: Article › 査読

  • Volume formula 100%
  • Triangular pyramid 74%
  • Dihedral angle 45%
  • Concretes 43%
  • Curvature 25%
  12 被引用数 (Scopus)

• Volume of a doubly truncated hyperbolic tetrahedron

  Kolpakov, A. & Murakami, J., 2013 6月, In: Aequationes Mathematicae. 85, 3, p. 449-463 15 p.

  研究成果: Article › 査読

  • Triangular pyramid 100%
  • Dilogarithm 61%
  • Numerics 47%
  • Express 37%
  4 被引用数 (Scopus)

• Yokota type invariants derived from non-integral highest weight representations of q (s l 2)

  Mizusawa, A. & Murakami, J., 2016 9月 1, In: Journal of Knot Theory and its Ramifications. 25, 10, 1650054.

  研究成果: Article › 査読

  • Highest Weight Representations 100%
  • Invariant 40%
  • Square-based pyramid 22%
  • Hyperbolic Volume 18%
  • Spatial Graph 18%