TY  - BOOK
AU  - Friedman,Joel
TI  - Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture
T2  - Memoirs of the American Mathematical Society
SN  - 9781470419684
AV  - QA612.36 -- .F754 2014eb 
U1  - 514/.224 
PY  - 2015///
CY  - Providence, RI
PB  - American Mathematical Society
KW  - Sheaf theory
KW  - Vector spaces
KW  - Vector analysis
KW  - Electronic books
N1  - 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. ℎ₁^{          } 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 SHNC -- 2.4. 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 Friedman'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
N2  - In this paper the author establishes some foundations regarding sheaves of vector spaces on graphs and their invariants, such as homology groups and their limits. He then uses these ideas to prove the Hanna Neumann Conjecture of the 1950s; in fact, he proves a strengthened form of the conjecture
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114314
ER  -