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math.AG2018★ 4 cited
On the Kirwan map for moduli of Higgs bundles
Emily Cliff, Thomas Nevins, Shiyu Shen
Let be a smooth complex projective curve and a connected complex reductive group. We prove that if the center of is disconnected, then the Kirwan map $H^*\big(\o…
math.AG2016★ 6 cited
Universal factorization spaces and algebras
Emily Cliff
We introduce categories of weak factorization algebras and factorization spaces, and prove that they are equivalent to the categories of ordinary factorization algebras and spaces,…
math.AG2014
Universal D-modules and stacks of étale germs of n-dimensional varieties
Emily Cliff
We introduce stacks classifying étale germs of pointed n-dimensional varieties. We show that quasi-coherent sheaves on these stacks are universal D- and O-modules. We state and pro…