[2109.09788] 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.

[2109.09788] A boson-fermion correspondence in cohomological Donaldson-Thomas theory --> Mathematics > Representation Theory arXiv:2109.09788 (math) [Submitted on 20 Sep 2021 ( v1 ), last revised 16 Feb 2022 (this version, v3)] Title: A boson-fermion correspondence in cohomological Donaldson-Thomas theory Authors: Ben Davison View a PDF of the paper titled A boson-fermion correspondence in cohomological Donaldson-Thomas theory, by Ben Davison View PDF Abstract: We introduce and study a fermionization procedure for the cohomological Hall algebra $\mathcal{H}_{\Pi_Q}$ of representations of a pre

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