Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Friedman, Joel, 1962- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2014.
Colección:Memoirs of the American Mathematical Society ; Volume 233, no. 1100 (sixth of 6 numbers)
Temas:
Sheaf theory.
Vector spaces.
Vector analysis.
Théorie des faisceaux.
Espaces vectoriels.
Analyse vectorielle.
Sheaf theory
Vector analysis
Vector spaces
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Title page
  • Preface
  • Introduction
  • Chapter 1. Foundations of Sheaves on Graphs and Their Homological Invariants
  • 1.1. Introduction
  • 1.2. Basic Definitions and Main Results
  • 1.3. Galois and Covering Theory
  • 1.4. Sheaf Theory and Homology
  • 1.5. Twisted Cohomology
  • 1.6. Maximum Excess and Supermodularity
  • 1.7. â?Žâ??^{ } and the Universal Abelian Covering
  • 1.8. Proof of Theorem 1.10
  • 1.9. Concluding Remarks
  • Chapter 2. The Hanna Neumann Conjecture
  • 2.1. Introduction
  • 2.2. The Strengthened Hanna Neumann Conjecture
  • 2.3. Graph Theoretic Formulation of the SHNC2.4. Galois and Covering Theory in the SHNC
  • 2.5.-kernels
  • 2.6. Symmetry and Algebra of the Excess
  • 2.7. Variability of -th Power Kernels
  • 2.8. Proof of the SHNC
  • 2.9. Concluding Remarks
  • Appendix A.A Direct View of -Kernels
  • Appendix B. Joel Friedmanâ€?s Proof of the strengthened Hanna Neumann conjecture by Warren Dicks
  • B.1. Sheaves on graphs
  • B.2. Free groups and graphs
  • B.3. The strengthened Hanna Neumann conjecture
  • Bibliography
  • Back Cover

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