Hori-mological projective duality

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.

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

References in corpus (3)

• The Pfaffian-Grassmannian equivalence revisited
• Derived Kn"orrer periodicity and Orlov's theorem for gauged Landau-Ginzburg models
• Hori-mological projective duality

Cited by in corpus (4)

• Hori-mological projective duality
• Motives and the Pfaffian-Grassmannian equivalence
• 2d dualities from 4d
• A survey of recent developments in GLSMs