Braids, Conformal Module, Entropy, and Gromov's Oka Principle
portes grátis
Braids, Conformal Module, Entropy, and Gromov's Oka Principle
Joericke, Burglind
Springer International Publishing AG
01/2025
453
Mole
9783031672873
Pré-lançamento - envio 15 a 20 dias após a sua edição
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1. Introduction.- 2. Riemann Surfaces, Braids, Mapping Classes, and Teichmueller Theory.- 3. The entropy of surface homeomorphisms.- 4. Conformal invariants of homotopy classes of curves. The Main theorem.- 5. Reducible pure braids. Irreducible nodal components, irreducible braid components, and the proof of the Main Theorem.- 6. The general case. Irreducible nodal components, irreducible braid components, and the proof of the Main Theorem.- 7. The conformal module and holomorphic families of polynomials.- 8. Gromov's Oka Principle and conformal module.- 9. Gromov's Oka Principle for (g, m)-fiber bundles.- 10. Fundamental groups and bounds for the extremal length.- 11. Counting functions.- 12. Riemann surfaces of second kind and finiteness theorems.- A. Several complex variables.- B. A Lemma on Conjugation.- C. Koebe's Theorem.- Index.- References.
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braids;mapping classes;conformal module, extremal length;topological entropy;Gromov's Oka principle;Teichmueller space;fiber bundle;finiteness Theorems;Thurston classification
1. Introduction.- 2. Riemann Surfaces, Braids, Mapping Classes, and Teichmueller Theory.- 3. The entropy of surface homeomorphisms.- 4. Conformal invariants of homotopy classes of curves. The Main theorem.- 5. Reducible pure braids. Irreducible nodal components, irreducible braid components, and the proof of the Main Theorem.- 6. The general case. Irreducible nodal components, irreducible braid components, and the proof of the Main Theorem.- 7. The conformal module and holomorphic families of polynomials.- 8. Gromov's Oka Principle and conformal module.- 9. Gromov's Oka Principle for (g, m)-fiber bundles.- 10. Fundamental groups and bounds for the extremal length.- 11. Counting functions.- 12. Riemann surfaces of second kind and finiteness theorems.- A. Several complex variables.- B. A Lemma on Conjugation.- C. Koebe's Theorem.- Index.- References.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
