[PS][PS] Modular forms and quantum invariants of 3-manifolds
D Zagier, R Lawrence - 1999 - archive.mpim-bonn.mpg.de
MhA; dA+A; A]= 3idDA; as a Feynman integral over an in nite dimensional moduli space of G-
connections on M, in terms of additional data, namely a Lie algebra g (with dual Coxeter …
connections on M, in terms of additional data, namely a Lie algebra g (with dual Coxeter …
Witten–Reshetikhin–Turaev Invariants of¶ Seifert Manifolds
R Lawrence, L Rozansky - Communications in mathematical physics, 1999 - Springer
For Seifert homology spheres, we derive a holomorphic function of K whose value at integer
K is the sl 2 Witten–Reshetikhin–Turaev invariant, ZK, at q= exp 2π i/K. This function is …
K is the sl 2 Witten–Reshetikhin–Turaev invariant, ZK, at q= exp 2π i/K. This function is …
A unified Witten–Reshetikhin–Turaev invariant for integral homology spheres
K Habiro - Inventiones mathematicae, 2008 - Springer
We construct an invariant JM of integral homology spheres M with values in a completion Zq
of the polynomial ring ℤ q such that the evaluation at each root of unity ζ gives the the SU (2) …
of the polynomial ring ℤ q such that the evaluation at each root of unity ζ gives the the SU (2) …
Problems on invariants of knots and 3-manifolds
T Ohtsuki - Geom. Topol. Monogr, 2002 - msp.org
The workshop and seminars on “Invariants of knots and 3-manifolds” was held at Research
Institute for Mathematical Sciences, Kyoto University in September 2001. There were 25 …
Institute for Mathematical Sciences, Kyoto University in September 2001. There were 25 …
On the quantum sl2 invariants of knots and integral homology spheres
K Habiro - Geom. Topol. Monogr, 2002 - msp.org
We will announce some results on the values of quantum sl2 invariants of knots and integral
homology spheres. Lawrence's universal sl2 invariant of knots takes values in a fairly small …
homology spheres. Lawrence's universal sl2 invariant of knots takes values in a fairly small …
On the quantum invariant for the Brieskorn homology spheres
K Hikami - International Journal of Mathematics, 2005 - World Scientific
We study an exact asymptotic behavior of the Witten–Reshetikhin–Turaev SU (2) invariant
for the Brieskorn homology spheres Σ (p1, p2, p3) by use of properties of the modular form …
for the Brieskorn homology spheres Σ (p1, p2, p3) by use of properties of the modular form …
On the quantum invariants for the spherical Seifert manifolds
K Hikami - Communications in mathematical physics, 2006 - Springer
Abstract We study the Witten–Reshetikhin–Turaev SU (2) invariant for the Seifert manifolds
S 3/Gamma where Γ is a finite subgroup of SU (2). We show that the WRT invariants can be …
S 3/Gamma where Γ is a finite subgroup of SU (2). We show that the WRT invariants can be …
Cyclotomy and analytic geometry over F1
YI Manin - Quanta of maths, 2010 - books.google.com
Geometry over non–existent “field with one element” F1 conceived by Jacques Tits [Ti] half a
century ago recently found an incarnation, in several related but different guises. In this …
century ago recently found an incarnation, in several related but different guises. In this …
3–manifold invariants and periodicity of homology spheres
PM Gilmer, J Kania-Bartoszynska… - Algebraic & Geometric …, 2002 - msp.org
3-manifold invariants and periodicity of homology spheres 1 Introduction Page 1 ISSN 1472-2739
(on-line) 1472-2747 (printed) 825 Algebraic & Geometric Topology ATG Volume 2 (2002) …
(on-line) 1472-2747 (printed) 825 Algebraic & Geometric Topology ATG Volume 2 (2002) …
Skein theory and Witten–Reshetikhin–Turaev Invariants of links in lens spaces
PM Gilmer - Communications in mathematical physics, 1999 - Springer
We study the behavior of the Witten–Reshetikhin–Turaev SU (2) invariants of an arbitrary
link in L (p, q) as a function of the level r− 2. They are given by times one of p Laurent …
link in L (p, q) as a function of the level r− 2. They are given by times one of p Laurent …