Geometric Methods in Physics: XXXI Workshop, Białowieża, Poland, June 24–30, 2012

Front Matter....Pages i-x
Front Matter....Pages 1-2
Non-formal Deformation Quantization and Star-exponential of the Poincaré Group....Pages 3-12
Spin c , Mp c and Symplectic Dirac Operators....Pages 13-28
 $$\\theta(\\hat{x},\\hat{p})$$ -deformation of the Harmonic Oscillator in a 2D-phase Space....Pages 29-37
Star Products and Certain Star Product Functions....Pages 39-45
Paragrassmann Algebras as Quantum Spaces Part I: Reproducing Kernels....Pages 47-63
Front Matter....Pages 65-65
Rolling of Coxeter Polyhedra Along Mirrors....Pages 67-86
Boundedness for Pseudo-differential Calculus on Nilpotent Lie Groups....Pages 87-97
A Useful Parametrization of Siegel–Jacobi Manifolds....Pages 99-108
An Application of the Reduction Method to Sutherland type Many-body Systems....Pages 109-117
Lagrange Anchor for Bargmann–Wigner Equations....Pages 119-126
The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–Orantin....Pages 127-142
An Elementary Proof of the Formal Rigidity of the Witt and Virasoro Algebra....Pages 143-153
Invariants for Darboux Transformations of Arbitrary Order for $$\\mathcal{D}_x\\mathcal{D}_y+a\\mathcal{D}_x+b\\mathcal{D}_y+c$$ ....Pages 155-162
Decomposition of Weyl Group Orbit Products of W (A 2 )....Pages 163-168
Front Matter....Pages 169-169
On Operators Generated by Maps with Separable Dynamics....Pages 171-178
From the Heat Equation to Ordinary Differential Equations....Pages 179-185
4-planar Mappings of Quaternionic Kähler Manifolds....Pages 187-193
Unduloid-like Equilibrium Shapes of Carbon Nanotubes Subjected to Hydrostatic Pressure....Pages 195-202
Resonance Phenomenon for Potentials of Wigner–von Neumann Type....Pages 203-207
Form Factor Approach to the Calculation of Correlation Functions of Integrable Models....Pages 209-220
Front Matter....Pages 169-169
On Space-like Hypersurfaces in a Space-time....Pages 221-228
On Bogomolny Decompositions for the Baby Skyrme Models....Pages 229-237