Operads, deformation theory and F-manifolds
| dc.creator | Merkulov, S. A. | |
| dc.date | 2002-10-31 | |
| dc.date | 2003-08-18 | |
| dc.date.accessioned | 2026-07-07T06:31:53Z | |
| dc.date.available | 2026-07-07T06:31:53Z | |
| dc.description | It is shown that every algebra over the chain operad of the little disks operad gives naturally rise to a Hertling-Manin's F-manifold, that is a smooth manifold equipped with an integrable graded commutative associative product on the tangent sheaf. In particular, moduli spaces of extended deformations of complex/symplectic structures are shown to have a canonical structure of F-manifold. With the help of the $G_\infty$-operad a strong homotopy version of the notion of F-manifold is constructed. Among natural examples of $F_\infty$-manifolds one finds formal manifolds associated with the Hochschild cohomology of an associative algebra and with the singular cohomology of an arbitrary compact topological space. | |
| dc.description | LaTeX, 39 pages; citations added | |
| dc.identifier | https://arxiv.org/abs/math/0210478 | |
| dc.identifier | http://arxiv.org/abs/math/0210478 | |
| dc.identifier | In: Festschrift for Yu.I. Manin, Vieweg Fried, 2004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98738 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Operads, deformation theory and F-manifolds | |
| dc.type | text |