Hori-mological projective duality
Algebraic Geometry
2020-06-23 v4 High Energy Physics - Theory
Abstract
Kuznetsov has conjectured that Pfaffian varieties should admit non-commutative crepant resolutions which satisfy his Homological Projective Duality. We prove half the cases of this conjecture, by interpreting and proving a duality of non-abelian gauged linear sigma models proposed by Hori.
Cite
@article{arxiv.1609.04045,
title = {Hori-mological projective duality},
author = {Jørgen Vold Rennemo and Ed Segal},
journal= {arXiv preprint arXiv:1609.04045},
year = {2020}
}
Comments
55 pages. V2: slightly rewritten to take advantage of the `non-commutative Bertini theorem' recently proved by the authors and Van den Bergh. V3: lots of changes in exposition following referees' comments. Section 5 has been mostly cut because it was boring. To appear in Duke Math. J. V3: added funder acknowledgement