activity
20142025
most citedUniversal factorization spaces and algebras

6 citations · 10 across the 6 of their papers we have counts for

collaborators

6 papers

math.AT2025

The Freed--Quinn line bundle from higher geometry

Daniel Berwick-Evans, Emily Cliff, Laura Murray

For a finite group , and level , Freed and Quinn construct a line bundle over the moduli space of -bundles on surfaces. Global sections determine the…

math.AT2021

Flat principal 2-group bundles and flat string structures

Daniel Berwick-Evans, Emily Cliff, Laura Murray +2

For a weak 2-group, we construct a bicategory of flat 2-group bundles over differentiable stacks as a localization of a functor bicategory. This description is amenable to explicit…

math.QA2019

Chiral algebras, factorization algebras, and Borcherds's "singular commutative rings" approach to vertex algebras

Emily Cliff

We recall Borcherds's approach to vertex algebras via "singular commutative rings", and introduce new examples of his constructions which we compare to vertex algebras, chiral alge…

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…