2 citations · 4 across the 5 of their papers we have counts for
6 papers
Equivariant Vector Bundles on Varieties with Codimension-one Orbits
Lucas Mason-Brown, James Tao
Let be an algebraic group and let be a smooth -variety with two orbits: an open orbit and a a closed orbit of codimension . We give an algebraic description of the ca…
A colimit presentation of via the Bott-Samelson hypercover
James Tao, Roman Travkin
Let be a semisimple, simply connected algebraic group over an algebraically closed field of characteristic zero. We prove that the -category of D-modules on the loop gr…
Homotopical presentations of braid groups via reduced lifts
James Tao, Roman Travkin
In 1997, Deligne showed that the reduced lift presentation of a finite type generalized braid group remains correct if it is (suitably) interpreted as a presentation of a topologic…
is reduced
James Tao
Let be a field of characteristic zero. Fix a smooth algebraic curve and a split reductive group over . We show that the Beilinson--Drinfeld affine Grassmannian $\mat…
-excisive functors, canonical connections, and line bundles on the Ran space
James Tao
Let be a smooth algebraic variety over . We prove that any flat quasicoherent sheaf on canonically acquires a D-module structure. In addition, we pro…
Extensions by and factorization line bundles
James Tao, Yifei Zhao
Let be a smooth, geometrically connected curve over a perfect field . Given a connected, reductive group , we prove that central extensions of by the sheaf $\mathbf K…