Abstract
Let be a smooth projective variety. Using the idea of brane actions discovered by Toën, we construct a lax associative action of the operad of stable curves of genus zero on the variety seen as an object in correspondences in derived stacks. This action encodes the Gromov–Witten theory of in purely geometrical terms and induces an action on the derived category which allows us to recover the quantum K–theory of Givental and Lee.
Citation
Etienne Mann. Marco Robalo. "Brane actions, categorifications of Gromov–Witten theory and quantum K–theory." Geom. Topol. 22 (3) 1759 - 1836, 2018. https://doi.org/10.2140/gt.2018.22.1759
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