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arXiv · 1803.09476

Gromov-Witten theory with derived algebraic geometry

Etienne Mann·Marco Robalo
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Abstract

In this survey we add two new results that are not in our paper [MR15]. Using the idea of brane actions discovered by Toen, 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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Etienne Mann, Marco Robalo. 2018-03-26. Gromov-Witten theory with derived algebraic geometry. https://arxiv.org/abs/1803.09476

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