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arXiv · 1701.01261

Grothendieck-Verdier duality patterns in quantum algebra

Yuri I. Manin
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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.

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Yuri I. Manin. 2017-01-05. Grothendieck-Verdier duality patterns in quantum algebra. https://doi.org/10.1070/im8620

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