Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Hilburn, Justin"'
To a conical symplectic resolution with Hamiltonian torus action, Braden--Proudfoot--Licata--Webster associate a category O, defined using deformation quantization (DQ) modules. It has long been expected, though not stated precisely in the literature
Externí odkaz:
http://arxiv.org/abs/2406.01379
Autor:
Gammage, Benjamin, Hilburn, Justin
We define 2-categories of microlocal perverse (resp. coherent) sheaves of categories on the skeleton of a hypertoric variety and show that the generators of these 2-categories lift the projectives (resp. simples) in hypertoric category $\mathcal{O}$.
Externí odkaz:
http://arxiv.org/abs/2310.06172
We study twisted traces on the quantum Higgs branches $A_{\operatorname{Higgs}}$ of $3d, \mathcal{N}=4$ gauge theories, that is, the quantum Hamiltonian reductions of Weyl algebras. In theories which are good, we define a twisted trace that arises na
Externí odkaz:
http://arxiv.org/abs/2308.15198
Autor:
Gammage, Benjamin, Hilburn, Justin
We propose a conjecture on the categorical trace of the 2-category of perverse schobers (expected to model the Fukaya-Fueter 2-category of a holomorphic symplectic space). By proving a Betti geometric version of Tate's thesis, and combining it with o
Externí odkaz:
http://arxiv.org/abs/2210.06548
The proposed physical duality known as 3d mirror symmetry relates the geometries of dual pairs of holomorphic symplectic stacks. It has served in recent years as a guiding principle for developments in representation theory. However, due to the lack
Externí odkaz:
http://arxiv.org/abs/2202.06833
Autor:
Hilburn, Justin, Raskin, Sam
We calculate the category of D-modules on the loop space of the affine line in coherent terms. Specifically, we find that this category is derived equivalent to the category of ind-coherent sheaves on the moduli space of rank one de Rham local system
Externí odkaz:
http://arxiv.org/abs/2107.11325
Given a representation N of a reductive group G, Braverman-Finkelberg-Nakajima have defined a remarkable Poisson variety called the Coulomb branch. Their construction of this space was motivated by considerations from 3d gauge theories and symplectic
Externí odkaz:
http://arxiv.org/abs/2004.14998
We study half-BPS line operators in 3d N=4 gauge theories, focusing in particular on the algebras of local operators at their junctions. It is known that there are two basic types of such line operators, distinguished by the SUSY subalgebras that the
Externí odkaz:
http://arxiv.org/abs/1908.00013
Autor:
Hilburn, Justin
In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Kapranov-Zelevinsky hypergeometr
Externí odkaz:
http://hdl.handle.net/1794/20456
Autor:
Hilburn, Justin1 (AUTHOR), Kamnitzer, Joel2,3 (AUTHOR) jkamnitz@math.toronto.edu, Weekes, Alex4 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Aug2023, Vol. 401 Issue 3, p765-832. 68p.
