ICMS Home Page Geometry & Physics of 3d Quantum Gravity Scientific Programme

Table of references

These references were collected after the conference. Any additional references will be added as they are notified to Bernd Schroers.

Name

Title of Talk

Reference

Arcioni

On the boundary dynamics of Chern-Simons gravity

On the boundary dynamics of Chern-Simons gravity (with Blau and O'Loughlin) JHEP 0301, 067 (2003) hep-th/0210089

Baseilhac

On dilogarithmic field theories

Quantum hyperbolic invariants for 3-manifolds with PSL(2,C)-characters, math.GT/0603280
Classical and quantum dilogarithmic invariants for flat PSL(2,C)-bundles over 3-manifolds,
math.GT/0306283
3-Dimensional dilogarithmic field theories, in preparation (rough preliminary version available on request)

Benedetti

Towards a dilogarithmic field theory for 3d gravity

Quantum hyperbolic invariants for 3-manifolds with PSL(2,C)-characters, math.GT/0603280
Classical and quantum dilogarithmic invariants for flat PSL(2,C)-bundles over 3-manifolds,
math.GT/0306283
3-Dimensional dilogarithmic field theories, in preparation (rough preliminary version available on request)

Eric Buffenoir

The n-body problem for Chern-Simons de Sitter gravity

Unfashionable observations about three-dimensioal gravity (with K. Noui). May 2003, gr-qc/0305079

Carfora

2+1 gravity and WZW models on random Regge geometries

Discretized Gravity and the SU(2) WZW model, to appear in Class. & Quant. Gravity (Feb. 2004 issue)
The WZW model on random Regge triangulations (with G. Arcioni C. Dappiaggi and A. Marzuoli) hep-th/0209031

Carlip

Quasi-normal modes and BTZ black hole quantization

Quasinormal Modes and Black Hole Quantum Mechanics in 2+1 Dimensions (with Birmingham and Chen) hep-th/0305113
Quantum Liouville theory and BTZ black hole entropy (by Yujun Chen)
hep-th/0310234

Freidel

Lorentzian state sum models in three dimensions

 

Garcia-Islas

2+1-dimensional Lorentzian quantum gravity and spin networks

 

Gegenberg

2+1 gravity and Thurston's geometrization conjecture

 

Karadi

Regge calculus on 3 dimensional manifolds with boundary

 

Krasnov

2+1 gravity with negative cosmological constant

Analytic continuation for asymptotically ADS 3-d gravity, Class.Quant.Grav.19:2399-2424,2002; gr-qc/0111049

Kashaev

Penner's coordinates for Teichmuller space and PSL(2,R) flat connections

Coordinates for the moduli space of flat PSL(2,R)-connections , math.GT/0307186
Livine Lorentzian formulation of 2+1 loop gravity gr-qc/0309028, gr-qc/0212077, hep-th/0307251

Martins

Knot theory with the Lorentz group

Knot Theory With The Lorentz Group, math.QA/0309162 ;
On the analytic properties of the z-coloured Jones polynomial
math.QA/0310394

Matschull

3d Einstein gravity and Chern-Simons theory

On the relation between (2+1) Einstein gravity and Chern-Simons theory, Class.Quant.Grav.16:2599-2609,1999; gr-qc/9903040

Meusburger

On the quantization of 2+1 gravity in the Chern-Simons formulation

Poisson structure and symmetry in the Chern-Simons formulation of (2+1)-dimensional gravity (with B Schroers) Class. Quant. Grav. 20 (2003) 2193--2234; gr-qc/0301108
The quantisation of Poisson structures arising in Chern-Simons theory with gauge group $G\ltimes g^*$ (with B Schroers),
hep-th/0310218

Oriti

An orientation dependent 3d spin foam model

E. R. Livine, D. Oriti, gr-qc/0210064

H Murakami

Limits of the coloured Jones polynomials and simplicial volumes

Some limits of the colored Jones polynomials of the figure-eight knot, math.GT/0308002.
Mahler measure of the colored Jones polynomial and the volume conjecture, in: Volume Conjecture and Its Related Topics, RIMS Kokyuroku 1279 (2002) 86--99, (math.GT/0206249)
(with J. Murakami, M. Okamoto, T. Takata, and Y. Yokota) Kashaev's conjecture and the Chern-Simons invariants of knots and links, Experiment. Math. 11 (2002), 427--435.
Kashaev's invariant and the volume of a hyperbolic knot after Y. Yokota, in: PHYSICS AND COMBINATORICS, Proceedings of the Nagoya 1999 International Workshop, Nagoya University, Japan 23 - 27 August 1999, edited by A.N. Kirillov, A. Tsuchiya and H. Umemura, World Scientific, 2001, pp. 244--272.
Optimistic calculations about the Witten-Reshetikhin-Turaev invariants of closed three-manifolds obtained from the figure-eight knot by integral Dehn surgeries, in: Recent Progress towards the volume conjecture, RIMS Kokyuroku 1172 (2000), 70--79, (
math.GT/0005289).
The asymptotic behavior of the colored Jones function of a knot and its volume, in: Proceedings of `Art of Low Dimensional Topology VI', edited by T. Kohno, January, 2000, (
math.GT/0004036).
(with J. Murakami) The colored Jones polynomials and the simplicial volume of a knot, Acta Math. 186 (2001), 85--104.

J Murakami

On the volume conjecture for the Turaev-Viro invariant

pdf-file of talk
Nelson Quantum matrices in (2+1)-dimensional gravit J.E. Nelson, R.F. Picken, Paramatrization of the space of flat SL(2,R) connections on the torus. Lett.Math.Phys.59:215-226,2002, math-ph/0105015;
J.E. Nelson, R.F. Picken, Quantum matrix pairs. Lett.Math.Phys.52:277-290,2000.
math.QA/9911015 ;
J.E. Nelson, R.F. Picken, Quantum holonomies in (2+1)- dimensional gravity. Phys.Lett.B471:367-372,2000.
gr-qc/9911005

Roche

Combinatorial quantization of Chern-Simons theory with SL(2,C) group

Hamiltonian quantization of Chern-Simons theory with SL(2,C) group (with E. Buffenoir and K. Noui) Class.Quant.Grav.19:4953,2002; hep-th/0202121

Sawin

Quantum groups and modularity at roots of unity

 

Thurston

The Jones Polynomials: towards a quantum SL(2,C) Chern-Simons Theory

 

Woodward

Asymptotics of quantum 6j symbols and non-Euclidean tetrahedra

 

Yokota

On the limit of Kashaev's invariants for hyperbolic knots

 
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