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of 57
pro vyhledávání: '"Tomotada Ohtsuki"'
Autor:
Tomotada Ohtsuki
This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invar
Autor:
Tomotada Ohtsuki, Toshie Takata
Publikováno v:
Communications in Mathematical Physics. 370:151-204
The perturbative expansion of the Chern–Simons path integral predicts a formula of the asymptotic expansion of the quantum invariant of a 3-manifold. When $$q=\exp (2 \pi \sqrt{-1}/N)$$ , there have been some researches where the asymptotic expansi
Autor:
Tomotada Ohtsuki, Stavros Garoufalidis
Publikováno v:
Geometry and physics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5a8d7c58ba5d85fb683d22b369a5815
https://doi.org/10.1201/9781003072393-34
https://doi.org/10.1201/9781003072393-34
Autor:
Tomotada Ohtsuki
Publikováno v:
Algebraic & Geometric Topology. 18:4187-4274
It is known that the quantum SU ( 2 ) invariant of a closed 3 –manifold at q = exp ( 2 π − 1 ∕ N ) is of polynomial order as N → ∞ . Recently, Chen and Yang conjectured that the quantum SU ( 2 ) invariant of a closed hyperbolic 3 –manifo
Autor:
Tomotada Ohtsuki, Yoshiyuki Yokota
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 165:287-339
We give presentations of the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings. In particular, we show the volume conjecture for these knots, which states that the leading terms of the expansions present the hyperbolic volu
Autor:
Tomotada Ohtsuki
Publikováno v:
Quantum Topology. 7:669-735
We give a presentation of the asymptotic expansion of the Kashaev invariant of the 52 knot. As the volume conjecture states, the leading term of the expansion presents the hyperbolic volume and the Chern-Simons invariant of the complement of the 52 k
Autor:
Tomotada Ohtsuki, Toshie Takata
Publikováno v:
Geom. Topol. 19, no. 2 (2015), 853-952
It is conjectured that, in the asymptotic expansion of the Kashaev invariant of a hyperbolic knot, the first coefficient is represented by the complex volume of the knot complement, and the second coefficient is represented by a constant multiple of
Autor:
Tomotada Ohtsuki
Publikováno v:
International Journal of Mathematics. 20:883-913
The quantum U(1) invariant of a closed 3-manifold M is defined from the linking matrix of a framed link of a surgery presentation of M. As an equivariant version of it, we formulate an invariant of a knot K from the equivariant linking matrix of a li