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ムラカミジュン | Murakami Jun

所属機関・部署：
職名：教授
ホームページURL (1件)： http://www.f.waseda.jp/murakami/jun-home-j.html

研究分野 (3件)：数理解析学 , 代数学 , 幾何学

研究キーワード (1件)： 3次元多様体、結び目理論、量子不変量、表現論

競争的資金等の研究課題 (58件)：

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論文 (61件)：

Kolpakov, Alexander, Murakami, Jun. Combinatorial Decompositions, Kirillov-Reshetikhin Invariants, and the Volume Conjecture for Hyperbolic Polyhedra. Experimental Mathematics. 2018. 197-203
Jinseok Cho, Jun Murakami. Reidemeister transformations of the potential function and the solution. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. 2017. 26. 12
Jun Murakami. Generalized kashaev invariants for knots in three manifolds. Quantum Topology. 2017. 8. 1. 35-73
Atsuhiko Mizusawa, Jun Murakami. Yokota type invariants derived from non-integral highest weight representations of U-q(sl(2)). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. 2016. 25. 10
Alexander Kolpakov, Jun Murakami. The Dual Jacobian of a Generalised Hyperbolic Tetrahedron, and Volumes of Prisms. TOKYO JOURNAL OF MATHEMATICS. 2016. 39. 1. 45-67

書籍 (16件)：

結び目と量子群
朝倉書店 2000
量子不変量
日本評論社 1999
現代数学序説 2
大阪大学出版会 1998
Representation of mapping class groups via the universal perturbative invariant
Proceedings of Knots 96, ed. S. Suzuki, World Scientific 1997
The Casson invariant for a knot in a 3-manifold
Geomatry and Physics (Ed. Anderson, Dupont Pedersen and Swan), Lecture notes in pure and applied mathematics 1996

講演・口頭発表等 (51件)：

Volume conjecture for the logarithmic invariant
(Volume Conjecture in Tokyo 2018)
On a q-deformation of PSL(2) representation of knot groups
(Low dimensional topology and number theory X 2018)
Presentation of knots by a braided Hopf algebra
(Modular Forms and Quantum Knot Invariants 2018)
Braided Wirtinger presentation of knots
(Representation Spaces, Teichmüller Theory, and their Relationship with 3-manifolds from the Classical and Quantum Viewpoints 2018)
On the volume conjecture of quantum knot invariants
(Low-dimensional Topology and Number Theory 2017)

学歴 (2件)：

学位 (2件)：

経歴 (6件)：

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所属学会 (1件)：

日本数学会

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