# Differential Geometry and Physics : Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 /

Differential Geometry and Physics : Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 /
Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005
editors, Mo-Lin Ge & Weiping Zhang.
- Hackensack, NJ : World Scientific, ©2006.
- 1 online resource (xviii, 522 pages) : illustrations.
- Nankai tracts in mathematics ; v. 10 .
- Nankai tracts in mathematics ; v. 10. .

Includes bibliographical references.

Foreword / Michael Atiyah -- Foreword / Chen Ning Yang -- Preface -- Plenary lectures. Yangian and applications / C.-M. Bai [and others]. The hypoelliptic Laplacian and Chern-Gauss-Bonnet / J.-M. Bismut. S.S. Chern and Chern-Simons Terms / R. Jackiw. Localization and conjectures from string duality / K.F. Liu. Topologization of electron liquids with Chern-Simons theory and quantum computation / Z.H. Wang -- Invited contributions. Quasicrystals: projections of 5-d lattice into 2 and 3 dimensions / H. Au-Yang and J.H.H. Perk. Theoretical analysis of the double spin chain compound KCUCl[symbol] / M.T. Batchelor, X.-W. Guan and N. Oelkers. Applications of geometric cluster algorithms / H.W.J. Blöte, Y. Deng and J.R. Heringa. Equivariant cohomology and localization for lie algebroids and applications / U. Bruzzo. Directed percolation in two dimensions: an exact solution / L.C. Chen and F.Y. Wu. Generalized drinfeld polynomials for highest weight vectors of the Borel subalgebra of the sl[symbol] loop algebra / T. Deguchi. On the physical significance of q-deformation in many-body physics / J.P. Draayer [and others]. A matrix product Ansatz solution of an exactly solvable interacting vertex model / A.A. Ferreira and F.C. Alcaraz. A 2h-dimensional model with Virasoro symmetry / P. Furlan and V.B. Petkova. 3-dimensional integrable lattice models and the Bazhanov-Stroganov model / G. von Gehlen, S. Pakuliak and S. Sergeev. Exact solution of two planar polygon models / A.J. Guttmann and I. Jensen. Quasi-exact solvability of Dirac equations / C.-L. Ho. Exotic Galilean symmetry, non-commutativity & the Hall effect / P.A. Horváthy. The energy-momentum and related topics in gravitational radiation / W.-l. Huang and X. Zhang. Quantum operators and Hermitian vector fields / J. Janyška and M. Modugno. Electric-magnetic duality beyond four dimensions and in general relativity / B.L. Julia. Topology and quantum information / L.H. Kauffman. Generalized cohomologies and differential forms of higher order / R. Kerner. Periodic cellular automata and Bethe Ansatz / A. Kuniba and A. Takenouchi. An L[symbol]-Alexander-Conway invariant for knots and the volume conjecture / W.P. Li and W.P. Zhang. Faddeev knots, Skyrme solitons, and concentration-compactness / F.H. Lin and Y.S. Yang. Dynamics of Bose-Einstein condensates / W.-M. Liu. Twisted space-time symmetry, non-commutativity and particle dynamics / J. Lukierski and M. Woronowicz. Toeplitz quantization and symplectic reduction / X.N. Ma and W.P. Zhang. On mysteriously missing T-duals, H-flux and the T-duality group / V. Mathai and J. Rosenberg. Murphy operators in knot theory / H.R. Morton. Bethe Ansatz for the open XXZ chain from functional relations at roots of unity / R.I. Nepomechie. Separation between spin And charge in SU(2) Yang-Mills theory / A.J. Niemi. On solutions of the one-dimensional Holstein model / F. Pan and J.P. Draayer. Recent developments on Ising and chiral Potts model / J.H.H. Perk and H. Au- Yang. Bethe Ansatz and symmetry in superintegrable chiral Potts model and root-of-unity six-vertex model / S.-S. Roan. The cyclic renormalization group / G. Sierra. Bohm-Aharonov type effects in dissipative atomic systems / A.I. Solomon and S.G. Schirmer. Noncommutative procedures in spontaneous symmetry breaking and quantum differentiation / M. Suzuki. Löwner equations and dispersionless hierarchies / K. Takasaki and T. Takebe. Multiparameter quantum deformations of Jordanian type for lie superalgebras / V.N. Tolstoy. A correlation-function bell inequality with improved visibility for 3 Qubits / C.F. Wu [and others]. Topological aspects of the spin hall effect / Y.-S. Wu. Positive mass theorems and Calabi-Yau compactification / N.Q. Xie. Analytic Torsion and an invariant of Calabi-Yau threefold / K.-I. Yoshikawa. Differential Galois groups of high order fuchsian ODE's / N. Zenine [and others]. Conformal triality of de Sitter, Minkowski and Anti-de Sitter spaces / B. Zhou and H.-Y. Guo. Some observations on Gopakumar-Vafa invariants of some local Calabi-Yau geometries / J. Zhou.

This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; devel.

English.

9789812772527 9812772529 1281912069 9781281912060 9786611912062 6611912061

Geometry, Differential--Congresses.

Mathematical physics--Congresses.

MATHEMATICS--Geometry--Differential.

Geometry, Differential.

Mathematical physics.

Electronic books.

Electronic books.

Conference papers and proceedings.

QC20.7.D52 / I58 2005eb

516.3/6

Includes bibliographical references.

Foreword / Michael Atiyah -- Foreword / Chen Ning Yang -- Preface -- Plenary lectures. Yangian and applications / C.-M. Bai [and others]. The hypoelliptic Laplacian and Chern-Gauss-Bonnet / J.-M. Bismut. S.S. Chern and Chern-Simons Terms / R. Jackiw. Localization and conjectures from string duality / K.F. Liu. Topologization of electron liquids with Chern-Simons theory and quantum computation / Z.H. Wang -- Invited contributions. Quasicrystals: projections of 5-d lattice into 2 and 3 dimensions / H. Au-Yang and J.H.H. Perk. Theoretical analysis of the double spin chain compound KCUCl[symbol] / M.T. Batchelor, X.-W. Guan and N. Oelkers. Applications of geometric cluster algorithms / H.W.J. Blöte, Y. Deng and J.R. Heringa. Equivariant cohomology and localization for lie algebroids and applications / U. Bruzzo. Directed percolation in two dimensions: an exact solution / L.C. Chen and F.Y. Wu. Generalized drinfeld polynomials for highest weight vectors of the Borel subalgebra of the sl[symbol] loop algebra / T. Deguchi. On the physical significance of q-deformation in many-body physics / J.P. Draayer [and others]. A matrix product Ansatz solution of an exactly solvable interacting vertex model / A.A. Ferreira and F.C. Alcaraz. A 2h-dimensional model with Virasoro symmetry / P. Furlan and V.B. Petkova. 3-dimensional integrable lattice models and the Bazhanov-Stroganov model / G. von Gehlen, S. Pakuliak and S. Sergeev. Exact solution of two planar polygon models / A.J. Guttmann and I. Jensen. Quasi-exact solvability of Dirac equations / C.-L. Ho. Exotic Galilean symmetry, non-commutativity & the Hall effect / P.A. Horváthy. The energy-momentum and related topics in gravitational radiation / W.-l. Huang and X. Zhang. Quantum operators and Hermitian vector fields / J. Janyška and M. Modugno. Electric-magnetic duality beyond four dimensions and in general relativity / B.L. Julia. Topology and quantum information / L.H. Kauffman. Generalized cohomologies and differential forms of higher order / R. Kerner. Periodic cellular automata and Bethe Ansatz / A. Kuniba and A. Takenouchi. An L[symbol]-Alexander-Conway invariant for knots and the volume conjecture / W.P. Li and W.P. Zhang. Faddeev knots, Skyrme solitons, and concentration-compactness / F.H. Lin and Y.S. Yang. Dynamics of Bose-Einstein condensates / W.-M. Liu. Twisted space-time symmetry, non-commutativity and particle dynamics / J. Lukierski and M. Woronowicz. Toeplitz quantization and symplectic reduction / X.N. Ma and W.P. Zhang. On mysteriously missing T-duals, H-flux and the T-duality group / V. Mathai and J. Rosenberg. Murphy operators in knot theory / H.R. Morton. Bethe Ansatz for the open XXZ chain from functional relations at roots of unity / R.I. Nepomechie. Separation between spin And charge in SU(2) Yang-Mills theory / A.J. Niemi. On solutions of the one-dimensional Holstein model / F. Pan and J.P. Draayer. Recent developments on Ising and chiral Potts model / J.H.H. Perk and H. Au- Yang. Bethe Ansatz and symmetry in superintegrable chiral Potts model and root-of-unity six-vertex model / S.-S. Roan. The cyclic renormalization group / G. Sierra. Bohm-Aharonov type effects in dissipative atomic systems / A.I. Solomon and S.G. Schirmer. Noncommutative procedures in spontaneous symmetry breaking and quantum differentiation / M. Suzuki. Löwner equations and dispersionless hierarchies / K. Takasaki and T. Takebe. Multiparameter quantum deformations of Jordanian type for lie superalgebras / V.N. Tolstoy. A correlation-function bell inequality with improved visibility for 3 Qubits / C.F. Wu [and others]. Topological aspects of the spin hall effect / Y.-S. Wu. Positive mass theorems and Calabi-Yau compactification / N.Q. Xie. Analytic Torsion and an invariant of Calabi-Yau threefold / K.-I. Yoshikawa. Differential Galois groups of high order fuchsian ODE's / N. Zenine [and others]. Conformal triality of de Sitter, Minkowski and Anti-de Sitter spaces / B. Zhou and H.-Y. Guo. Some observations on Gopakumar-Vafa invariants of some local Calabi-Yau geometries / J. Zhou.

This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; devel.

English.

9789812772527 9812772529 1281912069 9781281912060 9786611912062 6611912061

Geometry, Differential--Congresses.

Mathematical physics--Congresses.

MATHEMATICS--Geometry--Differential.

Geometry, Differential.

Mathematical physics.

Electronic books.

Electronic books.

Conference papers and proceedings.

QC20.7.D52 / I58 2005eb

516.3/6