Purity of critical cohomology and Kac's conjecture
Ben Davison
Number | 32 |
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Author | Ben Davison |
Year | 2013 |
We provide a new proof of the Kac conjecture for an arbitrary quiver Q. We use the fact that the (nilpotent) critical CoHA for a quiver with potential built from Q is supercommutative and free, and an easy purity result, which implies purity of the space of generators of this critical CoHA.