Grothendieck-Verdier duality patterns in quantum algebra
Quantum Algebra
2017-10-11 v1
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.
Cite
@article{arxiv.1701.01261,
title = {Grothendieck-Verdier duality patterns in quantum algebra},
author = {Yuri I. Manin},
journal= {arXiv preprint arXiv:1701.01261},
year = {2017}
}
Comments
13 pages, accepted for publication in Izvestiya: Mathematics