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Differential Geometry and Physics
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General Information
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Type.................: Ebook
Part Size............: 21,401,355 bytes




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Post Information
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Posted by............: ~tqw~

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Release Notes
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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; development of integrable
systems; and random matrix theory.

Table Of Contents

Foreword by Michael Atiyah vii
Foreword by Chen Ning Yang ix
Preface xi
Plenary Lectures 1
Yangian and Applications 3
The hypoelhptic Laplacian and Chern-Gauss-Bonnet 38
S. S. Chern and Chern-Simons Terms 53
Localization and Conjectures from String Duality 63
Topologization of Electron Liquids with Chern-Simons Theory and Quantum
Computation 106
Invited Contributions 121
Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions 123
Theoretical Analysis of the Double Spin Chain Compound KCUCI3 133
Applications of Geometric Cluster Algorithms 142
Equivariant Cohomology and Localization for Lie Algebroids and Applications 152
Directed Percolation in Two Dimensions: An Exact Solution 160
Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel
Subalgebra of the sl% Loop Algebra 169
On the Physical Significance of g-deformation in Many-body Physics 179
A Matrix Product Ansatz Solution of an Exactly Solvable
Interacting Vertex Model 190
A 2h-dimensional Model with Virasoro Symmetry 200
3-dimensional Integrable Lattice Models and the Bazhanov-Stroganov Model 210
Exact Solution of Two Planar Polygon Models 221
Quasi-exact Solvability of Dirac Equations 232
Exotic Galilean Symmetry, Non-commutativity & the Hall Effect 241
The Energy-momentum and Related Topics in Gravitational Radiation 248
Quantum Operators and Hermitian Vector Fields 256
Electric-magnetic Duality Beyond Four Dimensions and in General Relativity 266
Topology and Quantum Information 273
Generalized Cohomologies and Differential Forms of Higher Order 283
Periodic Cellular Automata and Bethe Ansatz 293
An L2-Alexander-Conway Invariant for Knots and the Volume Conjecture 303
Faddeev Knots, Skyrme Solitons, and Concentration-Compactness 313
Dynamics of Bose-Einstein Condensates 323
Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics 333
Toeplitz Quantization and Symplectic Reduction 343
On Mysteriously Missing T-duals, H-flux and the T-duality Group 350
A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits 453
Topological Aspects of the Spin Hall Effect 462
Positive Mass Theorems and Calabi-Yau Compactification 473
Analytic Torsion and an Invariant of Calabi-Yau Threefold 480
Differential Galois Groups of High Order Puchsian ODE\'s 490
Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces 503
Some Observations on Gopakumar-Vafa Invariants of Some Local Calabi-Yau
Geometries 513

Product Details

* ISBN: 9812703772
* ISBN-13: 9789812703774
* Format: Hardcover, 522pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: December 2006

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