Geometry of Euclidean tetrahedra and knot invariants
نویسندگان
چکیده
منابع مشابه
Enumerative geometry and knot invariants
We review the string/gauge theory duality relating Chern-Simons theory and topological strings on noncompact Calabi-Yau manifolds, as well as its mathematical implications for knot invariants and enumerative geometry.
متن کاملIntegral Geometry of Plane Curves and Knot Invariants
We study the integral expression of a knot invariant obtained as the second coefficient in the perturbative expansion of Witten's Chern-Simons path integral associated with a knot. One of the integrals involved turns out to be a generalization of the classical Crofton integral on convex plane curves, and it is related with the invariants of generic plane curves recently defined by Arnold, with ...
متن کاملKnot Energies and Knot Invariants
To record what has happened, ancient people tie knots. | I ching, the Chinese classic of 1027{771 B.C. Knots are fascinating objects. When fastening a rope, the distinction between a knot and a \slip-knot" (one that can be undone by pulling) must have been recognized very early in human history. We even developed a subconscious about knots: When we are puzzled or troubled, we have a feeling of ...
متن کاملSpherical Tetrahedra and Invariants of 3-manifolds
Let Y be an oriented closed three-manifold and r a positive integer. The ReshetikhinTuraev invariant Z(Y, r) and Turaev-Viro invariant TV (Y, r) are three-manifold invariants that attempt to make rigorous the Hamiltonian formulation of quantum ChernSimons theory. Z(Y, r) is constructed using the R-matrix of the quantized enveloping algebra Uq(sl2) and Kirby moves, while TV (Y, r) is based on th...
متن کاملUq(sl2) AND NON-EUCLIDEAN TETRAHEDRA
In this paper we study the semiclassical asymptotics of the 6j symbols for the representation theory of the quantized enveloping algebra Uq(sl2) for q a primitive root of unity. Because of the work of Finkelberg [7], these 6j symbols can also be defined in terms of fusion product of representations of the affine Lie algebra ŝl2, defined using Wess-Zumino-Witten conformal field theory. This asso...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2007
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-007-0282-3