Table of Contents: “...5. Topological invariants -- 5.1. Euler characteristic -- 5.2. Winding number -- 5.3. Index of zero points of vector fields -- 5.4. Chern numbers -- 5.5. Pontrjagin index -- 5.6. Hopf index -- 5.7. Linking number and other invariants -- 5.8. Atiyah...”

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Table of Contents: “... the Chemical Pointof View? -- 5. The Invariance of the Euler Characteristic in Chemical Reactions -- 6. The Main Theorem -- 7. Conclusion -- 8. References and Notes -- 8. Topological Indices and Chemical Reactivity -- 1. Introduction -- 2. Basic Principles...”

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Table of Contents: “.... Matrix Integration Revisited -- 3. Harmonic Oscillator and Fermions -- 4. The Virtual Euler Characteristic of the Mapping Class Group -- 5. Direct Method -- 6. Concluding Remarks -- References -- 8 Field-theoretical Description of High-Tc Superconductors...”

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