1.Introduction
1.1HistoricalReview
1.2PlanoftheBook
FractionalStatisticsinTwoDimensions
2.1Introduction
2.2WhyFractionalSpin?
2.3WilyFractionalStatistics?
2.4BasicPropertiesofAnyons
2.5FluxTubeModelofAnyons
2.6TheBraidGroup
3QuantumMechanicsofAnyons
3.1Introduction
3.2TwoNoninteractingAnyons
3.3TwoAnyonsinanOscillatorPotential
3.4TwoAnyonsinaUniformMagneticField
3.5MagneticFieldwithCoulombRepulsion
3.6ScatteringofTwoAnyonsinCoulombField
3.7NAnyonsinanOscillatorPotential
3.8ThreeAnyonGroundState
3.9GeneralResultsforNAnyons
3.10NAnyonsExperiencingaN-bodyPotential
3.11NAnyonsinaUniformMagneticField
3.12Pseudo-IntegrabilityofNAnyonsystem
StatisticalMechanicsofanIdealAnyonGas
4.1Introduction
4.2IdealFermiGasinTwoDimensions
4.3IdealBoseGasinTwoDimensions
4.4IdealAnyonGas:SecondVirialCoefficient
4.5IdealAnyonGas:ThirdVirialCoefficient
4.6IdealAnyonGas:HigherVirialCoefficients
5FractionalExclusionStatistics
5.1Introduction
5.2DistributionFunction
5.3ThermodynamicsofanIdealGas
5.4GentileStatistics
5.5NewFractionalExclusionStatistics
6IntroductiontoChern-SimonsTerm
6.1Introduction
6.2WhatisChern-SimonsTerm?
6.3GaugeInvariantMassTerm
6.4BehaviorUnderC,P,andT
6.5Coleman-HillTheorem
6.6Magneto-ElectricEffect
6.7Chern-SimonsTermbySSB
6.8LorentzInvarianceFromGaugeInvariance
6.9QuantizationofChern-SimonsMass
6.10ParityAnomaly
6.11TopologicalFieldTheory
7SolitonasAnyoninFieldTheories
7.1Introduction
7.2ChargedVortexSolutions
7.3RelativisticChern-SimonsVortices
7.4Non-relativisticChern-SimonsVortices
7.5CP1SolitonsWithHopfTerm
8AnyonsasElementaryFieldQuanta
8.1Introduction
8.2Non-relativisticFieldTheories
8.3RelativisticFieldTheories
9AnyonSuperconductivity
9.1Introduction
9.2MeanFieldTheory
9.3TheRandomPhaseApproximation
9.4TheEffectiveLagrangian
9.5AnyonsandHigh-ToSuperconductivity
9.6AnyonMetal
10QuantumHallEffectandAnyons
10.1Introduction
10.2TheLandaulevels
10.3BasicsofQuantumHallEffect
10.4TrialWavefunctionandAnyons
10.5MeanFieldTheory
11OmittedTopics