Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On cohomological Hall algebras of quivers : generators   We study the cohomological Hall algebra Y of a lagrangian substack of the
moduli stack of representations of the preprojective algebra of an arbitrary
quiver Q, and their actions on the cohomology of Nakajima quiver varieties. We
prove that Y is pure and we compute its Poincare polynomials in terms of
(nilpotent) Kac polynomials. We also provide a family of algebra generators. We
conjecture that Y is equal, after a suitable extension of scalars, to the
Yangian introduced by Maulik and Okounkov. As a corollary, we prove a variant
of Okounkov's conjecture, which is a generalization of the Kac conjecture
relating the constant term of Kac polynomials to root multiplicities of
Kac-Moody algebras.

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The categories of this paper are: atom-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th