A Cyclic Operad in the Category of Artin Stacks and Gravitational Correlators
| dc.creator | Kausz, Ivan | |
| dc.date | 2008-02-25 | |
| dc.date | 2008-02-29 | |
| dc.date.accessioned | 2026-07-07T09:23:43Z | |
| dc.date.available | 2026-07-07T09:23:43Z | |
| dc.description | We define an Artin stack which may be considered as a substitute for the non-existing (or empty) moduli space of stable two-pointed curves of genus zero. We show that this Artin stack can be viewed as the first term of a cyclic operad in the category of stacks. Applying the homology functor we obtain a linear cyclic operad. We formulate conjectures which assert that cohomology of a smooth projective variety has the structure of an algebra over this homology operad and that gravitational quantum cohomology can naturally expressed in terms of this algebra. As a test for these conjectures we show how certain well-known relations between gravitational correlators can be deduced from them. | |
| dc.description | Reference added for the formula in Prop. 11.6. Prop 11.7 corrected. Introduction changed accordingly | |
| dc.identifier | https://arxiv.org/abs/0802.3675 | |
| dc.identifier | http://arxiv.org/abs/0802.3675 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155832 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N35; 14H15 | |
| dc.title | A Cyclic Operad in the Category of Artin Stacks and Gravitational Correlators | |
| dc.type | text |