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Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture

Posted By: ksveta6
Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture

Sheaves on Graphs, Their Homological Invariants, and a Proof of the Hanna Neumann Conjecture (Memoirs of the American Mathematical Society) by Joel Friedman
2015 | ISBN: 1470409887 | English | 106 pages | PDF | 0.9 MB

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.