Calabi-Yau structures for multiplicative preprojective algebras

Abstract

In this paper we deal with Calabi-Yau structures associated with (differential graded versions of) deformed multiplicative preprojective algebras, of which we provide concrete algebraic descriptions. Along the way, we prove a general result that states the existence and uniqueness of negative cyclic lifts for non-degenerate relative Hochschild classes.

25 pages. Minor changes, final version, appeared in JNCG

References in corpus (3)

• Geometry of Multiplicative Preprojective Algebra
• Relative critical loci and quiver moduli
• The AKSZ Construction in Derived Algebraic Geometry as an Extended Topological Field Theory

Cited by in corpus (4)

• Purity and 2-Calabi-Yau categories
• On the noncommutative Poisson geometry of certain wild character varieties
• Calabi-Yau structures on (quasi-)bisymplectic algebras
• Crepant resolutions of stratified varieties via gluing