Communications in Mathematical Physics - Volume 210

The Arithmetic Mirror Symmetry and Calabi-Yau Manifolds......Page 1
The Dirac Quantisation Condition for Fluxes on Four-Manifolds......Page 12
The Band Structure of the General Periodic Schrödinger Operator with Point Interactions......Page 28
Spectral Transformation Chains and Some New Biorthogonal Rational Functions......Page 48
Spectral Analysis and Feller Property for Quantum Ornstein-Uhlenbeck Semigroups......Page 83
BRST Cohomology and Phase Space Reduction in Deformation Quantization......Page 104
Asymptotics of Solutions in nA+nB-C Reaction-Diffusion Systems......Page 142
Vertex Operator Solutions of 2d Dimensionally Reduced Gravity......Page 174
Correlations of Eigenvalues on Multi-Dimensional Flat Tori......Page 199
Thermodynamic Formalism and Variations of the Hausdorff Dimension of Quadratic Julia Sets......Page 220
Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem......Page 243
Cosmology with a Shock-Wave......Page 268
The Oscillator Representation and Groups of Heisenberg Type......Page 302
Subnormality in the Quantum Harmonic Oscillator......Page 315
Formulas for q-Spherical Functions Using Inverse Scattering Theory of Reflectionless Jacobi Operators......Page 327
Large Time Behavior of Schrödinger Heat Kernels and Applications......Page 362
Inverse Spectral Problem with Partial Information on the Potential: The Case of the Whole Real Line......Page 390
Boundary Concentration for Eigenvalue Problems Related to the Onset of Superconductivity......Page 403
On the Initial Boundary Value Problem for the Vlasov-Poisson-Boltzmann System......Page 437
Locality in GNS Representations of Deformation Quantization......Page 457
On the Complete Integrability of the Discrete Nahm Equations......Page 486
Separating Coordinates for the Generalized Hitchin Systems and the Classical r-Matrices......Page 509
Weak Solutions with Decreasing Energy of Incompressible Euler Equations......Page 529
Invariant Measures for NLS in Infinite Volume......Page 592
K-Theory, Reality, and Orientifolds......Page 608
q-Identities and Affinized Projective Varieties I. Quadratic Monomial Ideals......Page 627
q-Identities and Affinized Projective Varieties II. Flag Varieties......Page 648
Wick Product for Commutation Relations Connected with Yang-Baxter Operators and New Constructions of Factors......Page 670
Ground State Properties of the Neutral Falicov-Kimball Model......Page 687
Chiral Structure of Modular Invariants for Subfactors......Page 716
Generalization of Wigner's Unitary-Antiunitary Theorem for Indefinite Inner Product Spaces......Page 768