大槻知忠

オオツキトモタダ | Ohtsuki Tomotada

所属機関・部署：
職名：教授
ホームページURL (1件)： http://www.kurims.kyoto-u.ac.jp/~tomotada

研究分野 (1件)：幾何学

研究キーワード (2件)：位相幾何学 , Topology

競争的資金等の研究課題 (32件)：

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論文 (36件)：

Tomotada Ohtsuki, Toshie Takata. On the Quantum SU(2) Invariant at $$q\,{\hbox {= } }\,\exp (4\pi \sqrt{-1}/N)$$ and the Twisted Reidemeister Torsion for Some Closed 3-Manifolds. Communications in Mathematical Physics. 2019. 370. 1. 151-204
Tomotada Ohtsuki. On the asymptotic expansion of the quantum SU(2) invariant at q =exp(4π∕N) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot. Algebraic & Geometric Topology. 2018. 18. 7. 4187-4274
TOMOTADA OHTSUKI, YOSHIYUKI YOKOTA. On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings. Mathematical Proceedings of the Cambridge Philosophical Society. 2018. 165. 2. 287-339
Tomotada Ohtsuki. On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings. INTERNATIONAL JOURNAL OF MATHEMATICS. 2017. 28. 13
Tomotada Ohtsuki. On the asymptotic expansion of the kashaev invariant of the 52 knot. Quantum Topology. 2016. 7. 4. 669-735

MISC (7件)：

Ohtsuki Tomotada. Problems on Low-dimensional Topology, 2013 (Intelligence of Low-dimensional Topology). 数理解析研究所講究録. 2013. 1866. 135-148
大槻知忠. Intelligence of Low - dimensional Topology. (外73 名) 22. 6. 2~22. 6. 4. 2010
Tomotada Ohtsuki. A refinement of the LMO invariant for 3-manifolds with the first Betti number 1. 研究集会「トポロジーとその応用国際会議」 (International Conference on Topology and Its Applications), 12 月5 日( 水). 2007
A filtration of the set of integral homology 3-spheres. Proceedings of ICM, Berlin, 1998. 1998
T OHTSUKI. INVARIANTS OF 3-MANIFOLDS DERIVED FROM UNIVERSAL INVARIANTS OF FRAMED LINKS. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 1995. 117. 259-273

書籍 (5件)：

結び目の不変量
共立出版 2015
Problems on invariants of knots and 3-manifolds, Invariants of knots and 3-manifolds (Kyoto 2001)
377-572, Geom. Topol. Monogr. 4, Geom. Topol. PubL, Coventry, 2004. 2004
Quantum invariants, - A study of knots, 3-manifolds, and their sets, Series on Knots and Everything, 29
World Scientific Publishing Co., Inc. 2002
Combinatorial quantum method in 3-dimensional topology
MSJ Memoris, 3, Math. Soc. Japan, 1999
量子不変量---3次元トポロジーと数理物理の遭遇
日本評論社, 1999

講演・口頭発表等 (34件)：

On the asymptotic expansion of the quantum ${\rm\bf SU}(2)$ invariant at $q = \exp(4\pi\sqrt{-1}/N)$ for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot
(Volume conjecture and quantum topology 2016)
On the asymptotic expansion of the Kashaev invariant of some hyperbolic knots
(Braids, Configuration Spaces and Quantum Topology 2015)
結び目のKashaev不変量の漸近展開について
(多様体のトポロジーの展望 2014)
On the asymptotic expansion of the Kashaev invariant of knots
(The 3rd GCOE Workshop for Young Mathematicians 2012)
ベッチ数が1の3次元多様体に対するLMO不変量の精密化と摂動的不変量
(トポロジーシンポジウム 2008)

学歴 (4件)：

学位 (1件)：

経歴 (7件)：

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受賞 (5件)：

所属学会 (1件)：

日本数学会

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大槻 知忠