Ohtsuki Tomotada

オオツキトモタダ | Ohtsuki Tomotada

Affiliation and department：
Homepage URL (1)： http://www.kurims.kyoto-u.ac.jp/~tomotada

Research field (1)： Geometry

Research keywords (2)：位相幾何学 , Topology

Research theme for competitive and other funds (32)：

2021 - 2026 3次元双曲多様体上の量子トポロジー
2019 - 2024 Research on 4-dimensional topology from the viewpoint of graphics and quandle theory
2020 - 2023 配置空間の手法による高次元結び目の不変量
2019 - 2023 ゲージ理論に関連する3次元双曲多様体の不変量
2019 - 2023 Interrelation between quantum and contact topology via braid group methods

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Papers (37)：

Tomotada Ohtsuki. A refinement of the LMO invariant for 3-manifolds with the first Betti number 1. International Journal of Mathematics. 2024. 35. 06
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

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MISC (7)：

Ohtsuki Tomotada. Problems on Low-dimensional Topology, 2013 (Intelligence of Low-dimensional Topology). 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
大槻知忠. A filtration of the set of integral homology 3-spheres. Proceedings of ICM, Berlin,ICM98/II,478-482. 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

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Books (6)：

幾何学と物理
朝倉書店 2023 ISBN:9784254116199
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

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Lectures and oral presentations (34)：

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)

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Education (4)：

Professional career (1)：

Work history (7)：

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Awards (5)：

Association Membership(s) (1)：

日本数学会

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