Research Output per year

## 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

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1992 2019

- 90 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 journal › Article

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 journal › Article

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 journal › Article

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 journal › Article

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 journal › Article

Homology Spheres

Cyclotomic

Surgery

Knot

Invariant