Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture
Author(s)
Bibliographic Information
Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture
(Memoirs of the American Mathematical Society, no. 1100)
American Mathematical Society, 2015, c2014
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Note
Includes bibliographical references (p. 103-106)
Description and Table of Contents
Description
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.
Table of Contents
Foundations of sheaves on graphs and their homological invariants
The Hanna Neumann conjecture
Appendix A. A direct view of p-kernels
Appendix B. Joel Friedman's proof of the strengthened Hanna Neumann conjecture by Warren Dicks
Bibliography
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