Corpus ID: 237581177

A boson-fermion correspondence in cohomological Donaldson-Thomas theory

@inproceedings{Davison2021ABC,
  title={A boson-fermion correspondence in cohomological Donaldson-Thomas theory},
  author={Ben Davison},
  year={2021}
}
  • Ben Davison
  • Published 20 September 2021
  • Mathematics, Physics
We introduce and study a fermionization procedure for the cohomological Hall algebra HΠQ 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. 
Koszul algebras and Donaldson-Thomas invariants
For a given symmetric quiver Q, we define a supercommutative quadratic algebra AQ whose Poincaré series is related to the motivic generating function of Q by a simple change of variables. The KoszulExpand

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