Towards quantum cohomology of real varieties
arXiv:0710.0922
Abstract
This paper is devoted to a discussion of Gromov-Witten-Welschinger (GWW) classes and their applications. In particular, Horava's definition of quantum cohomology of real algebraic varieties is revisited by using GWW-classes and it is introduced as a DG-operad. In light of this definition, we speculate about mirror symmetry for real varieties.
35 pages, 6 figures
References in corpus (7)
- Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
- Equivariant Topological Sigma Models
- On moduli of pointed real curves of genus zero
- Homotopy algebra of open-closed strings
- Lie Atoms and their deformation theory
- Bernoulli numbers and deformations of schemes and maps
- Operad of formal homogeneous spaces and Bernoulli numbers