Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A boson-fermion correspondence in cohomological Donaldson-Thomas theory   We introduce and study a fermionization procedure for the cohomological Hall
algebra $\mathcal{H}_{\Pi_Q}$ of representations of a preprojective algebra,
that selectively switches the cohomological parity of the BPS Lie algebra from
even to odd. We do so by determining the cohomological Donaldson--Thomas
invariants of central extensions of preprojective algebras studied in the work
of Etingof and Rains, via deformed dimensional reduction.
  Via the same techniques, we determine the Borel-Moore homology of the stack
of representations of the $\mu$-deformed preprojective algebra introduced by
Crawley-Boevey and Holland, for all dimension vectors. This provides a common
generalisation of the results of Crawley-Boevey and Van den Bergh on the
cohomology of smooth moduli schemes of representations of deformed
preprojective algebras, and my earlier results on the Borel-Moore homology of
the stack of representations of the undeformed preprojective algebra.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom