Brane actions, Categorification of Gromov-Witten theory and Quantum K-theory

Autor:	Mann, Etienne, Robalo, Marco
Rok vydání:	2015
Předmět:	Mathematics - Algebraic Geometry Mathematics - Algebraic Topology Mathematics - Category Theory Mathematics - K-Theory and Homology 14N35 53N45 19 55U40 18G55
Zdroj:	Geom. Topol. 22 (2018) 1759-1836
Druh dokumentu:	Working Paper
DOI:	10.2140/gt.2018.22.1759
Popis:	Let X be a smooth projective variety. Using the idea of brane actions discovered by To\"en, 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-Lee. Comment: final version, 64 pages, accepted for publication in Geometry & Topology
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1505.02964 Zobrazit plný text záznamu View this record from Arxiv