| Preface | p. vii |
| The Thermodynamic Limit | p. 1 |
| The Transfer Matrix in a Pure Phase | p. 1 |
| The Semi-infinite-Volume Limit | p. 8 |
| Induced Rotations | p. 9 |
| Fock Representations | p. 13 |
| The Spectrum of TM | p. 21 |
| The Thermodynamic Limit for T < Tc | p. 30 |
| Duality and the Thermodynamic Limit Above Tcp45 | |
| Even Correlations at All Temperatures | p. 58 |
| The Spontaneous Magnetization and Two-Point Spin Correlation | p. 63 |
| The Spectral Curve for the Transfer Matrix | p. 64 |
| The Uniformization of M | p. 68 |
| Trivializing ¿ over M± | p. 72 |
| The Matrix Elements of s for the Q Polarization | p. 74 |
| The Two-Point Function Below Tc | p. 83 |
| The Two-Point Function Above Tc | p. 89 |
| The Correlation Length and Two-Point Asymptotics | p. 96 |
| The Montroll, Potts, and Ward Calculation of <¿> | p. 101 |
| Scaling Limits | p. 105 |
| Introduction | p. 105 |
| Hyperbolic Formulas for the Kernels of D-1, BD-1, and D-1C | p. 110 |
| Convergence Estimates | p. 113 |
| Pfaffian Formulas for the Scaling Functions | p. 124 |
| A Probabilistic Interpretation for the Scaling Limits | p. 131 |
| Expansions for the Two-Point Scaling Functions | p. 140 |
| The One-Point Green Function | p. 147 |
| Introduction | p. 147 |
| Free Fermions | p. 149 |
| Contour Integral Representations | p. 160 |
| Local Expansions | p. 168 |
| The Green Function for One Branch Point | p. 175 |
| Localization and Projections | p. 181 |
| Scaling Functions as Tau Functions | p. 197 |
| The Subcritical Tau Function | p. 198 |
| The Supercritical Tau Function | p. 211 |
| Deformation Analysis of Tau Functions | p. 223 |
| Boundary Conditions for m - D on ¿ | p. 224 |
| Existence Theory for the Subcritical Green Function | p. 236 |
| Existence for the Basis {Wj} and the Derivative of G(x, y; ¿) | p. 240 |
| The Derivative of log ¿ | p. 247 |
| Holonomic Systems and the Deformation Equations | p. 252 |
| A Deformation-Theoretic Expression for d log ¿ | p. 261 |
| Rotational Invariance for ¿[±] | p. 264 |
| The MTWB Result for the Two-Point Scaling Functions | p. 267 |
| Short-Distance Behavior of the Scaling Functions | p. 271 |
| Spin Representations of the Orthogonal Group | p. 273 |
| Grassmann Algebra | p. 273 |
| Fock Representations of the Clifford Algebra | p. 277 |
| The Grassmann Calculus | p. 279 |
| Pfaffians | p. 293 |
| Vacuum Expectations for Elements of G | p. 304 |
| The SMJ Product Deformation Formalism | p. 310 |
| Infinite Dimensions | p. 319 |
| Relations Between Transforms | p. 337 |
| Boltzmann Weights | p. 337 |
| Representations of the Complex Orthogonal Space W | p. 338 |
| References | p. 345 |
| List of Notation | p. 357 |
| Index | p. 361 |
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