Manifolds with multiplication on the tangent sheaf
| dc.creator | Manin, Yu. I. | |
| dc.date | 2005-02-28 | |
| dc.date.accessioned | 2026-07-07T05:17:33Z | |
| dc.date.available | 2026-07-07T05:17:33Z | |
| dc.description | This is a survey of the current state of the theory of $F$--(super)manifolds $(M,\circ)$, first defined in [HeMa] and further developed in [He], [Ma2], [Me1]. Here $\circ$ is an $\Cal{O}_M$--bilinear multiplication on the tangent sheaf $\Cal{T}_M$, satisfying an integrability condition. $F$--manifolds and compatible flat structures on them furnish a useful weakening of Dubrovin's Frobenius structure which naturally arises in the quantum $K$--theory, theory of extended moduli spaces, and unfolding spaces of singularities. | |
| dc.description | 16 pages. Talk at the Conference dedicated to the memory of B. Segre, Inst. Mat. Guido Castelnuovo, Rome, June 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0502578 | |
| dc.identifier | http://arxiv.org/abs/math/0502578 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74342 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 14H10 | |
| dc.title | Manifolds with multiplication on the tangent sheaf | |
| dc.type | text |