Gromov-Witten theory with derived algebraic geometry
Algebraic Geometry
2018-03-28 v1
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.
Keywords
Cite
@article{arxiv.1803.09476,
title = {Gromov-Witten theory with derived algebraic geometry},
author = {Etienne Mann and Marco Robalo},
journal= {arXiv preprint arXiv:1803.09476},
year = {2018}
}
Comments
37 pages, first version