Proposes and proves for 5D an expression for charge functions of odd-dimensional partitions whose poles mark addable and removable boxes.
Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We define a new type of Hall algebras associated e.g. with quivers with polynomial potentials. The main difference with the conventional definition is that we use cohomology of the stack of representations instead of constructible sheaves or functions. In order to take into account the potential we introduce a generalization of theory of mixed Hodge structures, related to exponential integrals. Generating series of our Cohomological Hall algebra is a generalization of the motivic Donaldson-Thomas invariants introduced in arXiv:0811.2435. Also we prove a new integrality property of motivic Donaldson-Thomas invariants.
verdicts
UNVERDICTED 3representative citing papers
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
Constructs and proves invertibility of a universal Fourier transform on exponential sheaves, with compatibility under realizations to classical versions.
citing papers explorer
-
Charge functions for odd dimensional partitions
Proposes and proves for 5D an expression for charge functions of odd-dimensional partitions whose poles mark addable and removable boxes.
-
Quiver Yangians as Coulomb branch algebras
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
-
Fourier transform and exponential sheaves
Constructs and proves invertibility of a universal Fourier transform on exponential sheaves, with compatibility under realizations to classical versions.