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math.AG2016★ 6 cited
The inertia operator on the motivic Hall algebra
Kai Behrend, Pooya Ronagh
We study the action of the inertia operator on the motivic Hall algebra, and prove that it is diagonalizable. This leads to a filtration of the Hall algebra, whose associated grade…
math.AG2016★ 2 cited
The Eigenvalue Spectrum of the Inertia Operator
Kai Behrend, Pooya Ronagh
We view the inertia construction of algebraic stacks as an operator on the Grothendieck groups of various categories of algebraic stacks. We show that the inertia operator is local…