Grothendieck-Verdier duality patterns in quantum algebra

Abstract

After a brief survey of the basic definitions of the Grothendieck--Verdier categories and dualities, I consider in this context introduced earlier dualities in the categories of quadratic algebras and operads, largely motivated by the theory of quantum groups. Finally, I argue that Dubrovin's "almost duality" in the theory of Frobenius manifolds and quantum cohomology also must fit a (possibly extended) version of Grothendieck--Verdier duality.

13 pages, accepted for publication in Izvestiya: Mathematics

References in corpus (2)

• Dubrovin's duality for $F$-manifolds with eventual identities
• De Rham cohomology and homotopy Frobenius manifolds

Cited by in corpus (1)

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