Search
Filters applied:
Search Results
-
Discrete Differential Geometry. Integrability as Consistency
We discuss a new geometric approach to discrete integrability coming from discrete differential geometry. A d–dimensional equation is called...
-
Special Solutions for Discrete Painlevé Equations
We construct special solutions for the discrete Painlevé equations. We start with a review of the corresponding solutions in the case of the...
-
Special Solutions of Discrete Integrable Systems
Hierarchies of discrete soliton equations are constructed in bilinear form as a consequence of the algebraic identities satisfied by determinants and...
-
Lectures on Two-Dimensional Noncommutative Gauge Theory Quantization
These notes are devoted to the construction of exact solutions of noncommutative gauge theory in two spacetime dimensions. Here we shall deal with...
-
Topological Quantum Field Theories and Operator Algebras
We have seen much fruitful interactions between 3-dimensional topology and operator algebras since the stunning discovery of the Jones polynomial for...
-
14 Organization and Leadership in Hospitals
Good Morning. I was surprised yesterday morning after listening to Karl Weick’s wonderful presentation to find myself thinking that I should be...
-
16 Transforming Your Regional Economy through Uncertainty and Surprise: Learning from Complexity Science, Network Theory and the Field
The field of regional development blossomed in the last decade, as researchers and practitioners increasingly asserted that the region was the most...
-
13 Medical Errors and Microsystems: The Best Things Cannot Be Told
The best things cannot be told Because they transcend all thought. The...
-
Boundary Value Problems and Solutions
In the previous chapters we have used the complete integrability of the stationary axisymmetric Einstein equations in vacuum to construct and to...
-
Introduction
In classical mechanics a well defined concept of integrability exists which is related to the Hamiltonian description of mechanics. If the phase...
-
Topological Quantum Field Theory and Algebraic Structures*
These notes are from lectures given at the Quantum field theory and noncommutative geometry workshop at Tohoku University in Sendai, Japan from...
-
On Gauge Transformations of Poisson Structures
We discuss various questions in Poisson geometry centered around the notion of gauge transformations associated with 2-forms. The topics in this note...
-
Gauge Theories on Noncommutative Spacetime Treated by the Seiberg-Witten Method*
The idea of noncommutative coordinates (NCC) is almost as old as quantum field theory (QFT) itself. It was W.Heisenberg who proposed NCC in 1930 in a...
-
Introduction to String Compactification
We present an elementary introduction to compactifications with unbroken supersymmetry. After explaining how this requirement leads to internal...
-
Noncommutative Spheres and Instantons
We report on some recent work on deformation of spaces, notably deformation of spheres, describing two classes of examples.
-
Classification of All Quadratic Star Products on a Plane* **
In this paper we classify all quadratic star products on a plane by using Hochschild cohomology and Poisson cohomology.
-
Morita Equivalence, Picard Groupoids and Noncommutative Field Theories
In this article we review recent developments on Morita equivalence of star products and their Picard groups. We point out the relations between...
-
Universal Deformation Formulae for Three-Dimensional Solvable Lie Groups
We apply methods from strict quantization of solvable symmetric spaces to obtain universal deformation formulae for actions of every...
-
Knot Invariants and Configuration Space Integrals
After a short presentation of the theory of Vassiliev knot invariants, we shall introduce a universal finite type invariant for knots in the ambient...
-
3 Complexity, Uncertainty and Surprise: An Integrated View
The purpose of this paper is to tie together some of the major themes that emerged at the conference and in the presentations in this volume. As...