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2018 Brane actions, categorifications of Gromov–Witten theory and quantum K–theory
Etienne Mann, Marco Robalo
Geom. Topol. 22(3): 1759-1836 (2018). DOI: 10.2140/gt.2018.22.1759

Abstract

Let X 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 X seen as an object in correspondences in derived stacks. This action encodes the Gromov–Witten theory of X in purely geometrical terms and induces an action on the derived category Qcoh ( X ) which allows us to recover the quantum K–theory of Givental and Lee.

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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

Information

Received: 7 December 2016; Revised: 4 April 2017; Accepted: 13 June 2017; Published: 2018
First available in Project Euclid: 31 March 2018

zbMATH: 06864267
MathSciNet: MR3780445
Digital Object Identifier: 10.2140/gt.2018.22.1759

Subjects:
Primary: 14N35

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.22 • No. 3 • 2018
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