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Purity of critical cohomology and Kac's conjecture

Ben Davison

Number 32
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.

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