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Fingerprint Dive into the research topics where Toshie Takata is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 1 Similar Profiles
Invariant Mathematics
Knot Mathematics
Colored Jones Polynomial Mathematics
Reidemeister Torsion Mathematics
Quantum Groups Mathematics
Homology Mathematics
Seifert Manifold Mathematics
Roots of Unity Mathematics

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Research Output 1992 2019

  • 89 Citations
  • 5 h-Index
  • 14 Article

On the Quantum SU(2) Invariant at q=exp(4π√-1/N) and the Twisted Reidemeister Torsion for Some Closed 3-Manifolds

Ohtsuki, T. & Takata, T., Aug 1 2019, In : Communications in Mathematical Physics. 370, 1, p. 151-204 54 p.

Research output: Contribution to journalArticle

Reidemeister Torsion
torsion
Asymptotic Expansion
Square root
Flat Connection
3 Citations (Scopus)

The slope conjecture for graph knots

Motegi, K. & Takata, T., May 1 2017, In : Mathematical Proceedings of the Cambridge Philosophical Society. 162, 3, p. 383-392 10 p.

Research output: Contribution to journalArticle

Knot
Slope
Graph in graph theory
Colored Jones Polynomial
Vanish
10 Citations (Scopus)

On the kashaev invariant and the twisted reidemeister torsion of two-bridge knots

Ohtsuki, T. & Takata, T., Apr 10 2015, In : Geometry and Topology. 19, 2, p. 853-952 100 p.

Research output: Contribution to journalArticle

Reidemeister Torsion
Knot
Invariant
Hyperbolic Knot
Hyperbolic Structure

On the SO(N) and Sp(N) free energy of a rational homology three-sphere

Takata, T., Apr 1 2011, In : International Journal of Mathematics. 22, 4, p. 465-482 18 p.

Research output: Contribution to journalArticle

Free Energy
Homology
Genus
Lens Space
Term

Ohtsuki invariants for integral homology spheres and habiro's cyclotomic expansion

Takata, T., Jan 1 2009, In : Journal of Knot Theory and its Ramifications. 18, 1, p. 21-31 11 p.

Research output: Contribution to journalArticle

Homology Spheres
Cyclotomic
Surgery
Knot
Invariant