Abstract
Probenius manifolds created by Dubrovin in 1991 from rich theoretical physics material have been found since in many different fragments of mathematics — quantum cohomology and mirror symmetry, complex geometry, symplectic geometry, singularity theory, integrable systems — raising hopes for unifying them into one picture. It also became clear that the notion of Probenius manifold is not broad enough to cover all objects of the associated working categories; say, on the B-side of the mirror symmetry it applies only to extended moduli spaces of Calabi-Yau manifolds, the latter forming a rather small subcategory of the category of complex manifolds.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
