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Journal Articles Panoramas et synthèses Year : 2021

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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Dates and versions

hal-01739898 , version 1 (21-03-2018)

Identifiers

  • HAL Id : hal-01739898 , version 1

Cite

Etienne Mann, Marco Robalo. GROMOV-WITTEN THEORY WITH DERIVED ALGEBRAIC GEOMETRY. Panoramas et synthèses, 2021, 55, pp.147-186. ⟨hal-01739898⟩
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