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GROMOV-WITTEN THEORY WITH DERIVED ALGEBRAIC GEOMETRY

Abstract : In this survey we add two new results that are not in our paper [MR15]. 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 a smooth variety X seen as an object in correspondences in derived stacks. This action encodes the Gromov-Witten theory of X in purely geometrical terms.
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https://hal.archives-ouvertes.fr/hal-01739898
Contributor : Etienne Mann <>
Submitted on : Wednesday, March 21, 2018 - 2:38:06 PM
Last modification on : Friday, April 10, 2020 - 5:27:46 PM
Document(s) archivé(s) le : Thursday, September 13, 2018 - 8:36:03 AM

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  • HAL Id : hal-01739898, version 1

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Etienne Mann, Marco Robalo. GROMOV-WITTEN THEORY WITH DERIVED ALGEBRAIC GEOMETRY. 2018. ⟨hal-01739898⟩

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