Аннотация:
After a brief survey of the basic definitions of Grothendieck–Verdier
categories and dualities, I consider in this context dualities
introduced earlier 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 must also fit a (possibly extended)
version of Grothendieck–Verdier duality.