Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture / Joel Friedman ; with an Appendix by Warren Dicks.

Format:

Book

Author/Creator:

Friedman, Joel, 1962- author.

Contributor:

Dicks, Warren, 1947- writer of supplementary textual content.

Series:

Memoirs of the American Mathematical Society ; Volume 233, Number 1100 (sixth of 6 numbers)

Memoirs of the American Mathematical Society, 1947-6221 ; Volume 233, Number 1100 (sixth of 6 numbers)

Language:

English

Subjects (All):

Sheaf theory.

Vector spaces.

Vector analysis.

Physical Description:

1 online resource (106 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2014.

Language Note:

English

Summary:

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.

Contents:

""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""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-1968-8