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

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Bibliographic Information

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

Joel Friedman ; with an Appendix by Warren Dicks

(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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