Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced Donaldson-Thomas invariants and the ring of dual numbers   Let $A$ be an abelian variety. We introduce $A$-equivariant Grothendieck
rings and $A$-equivariant motivic Hall algebras, and endow them with natural
integration maps to the ring of dual numbers. The construction allows a
systematic treatment of reduced Donaldson-Thomas invariants by Hall algebra
techniques. We calculate reduced Donaldson-Thomas invariants for $\mathrm{K3}
\times E$ and abelian threefolds for several imprimitive curve classes. This
verifies (in special cases) multiple cover formulas conjectured by
Oberdieck-Pandharipande and Bryan-Oberdieck-Pandharipande-Yin.

18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn