1. Introduction

    1. Abelian and non-Abelian anyons

    2. TGD based view about FQHE

  2. Fractional Quantum Hall effect

    1. Basic facts about FQHE

    2. The model of FQHE based on composite fermions

  3. About theories of quantum Hall effect

    1. Quantum Hall effect as a spontaneous symmetry breaking down to a discrete subgroup of the gauge group

    2. Witten-Chern-Simons action and topological quantum field theories

    3. Chern-Simons action for anyons

    4. Topological quantum computation using braids and anyons

  4. Updated view about the hierarchy of Planck constants

    1. Basic physical ideas

    2. Space-time correlates for the hierarchy of Planck constants

    3. Basic phenomenological rules of thumb in the new framework

    4. Charge fractionalization and anyons

    5. What about the relationship of gravitational Planck constant to ordinary Planck constant?

    6. Summary

  5. Quantum Hall effect, charge fractionalization, and hierarchy of Planck constants

    1. General description of the anyonic phase

    2. Basic aspects of FQHE

  6. Quantum Hall effect, charge fractionalization, and hierarchy of Planck constants

    1. General description of the anyonic phase

    2. Basic aspects of FQHE

  7. Quantization of conductance in neutral matter as evidence for many-sheeted space-time?

  8. Condensed matter simulation of 4-D quantum Hall effect from TGD point of view

    1. The ideas of the simulation of 4-D QHE

    2. TGD inspired comments about the simulation