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zbMATH Open
Article
Data sources: zbMATH Open
Communications in Analysis and Geometry
Article . 2000 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 1998
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Frobenius manifold structure on Dolbeault cohomology and mirror symmetry

Authors: Cao, Huai-Dong; Zhou, Jian;

Frobenius manifold structure on Dolbeault cohomology and mirror symmetry

Abstract

We construct a differential Gerstenhaber-Batalin-Vilkovisky algebra from Dolbeault complex of any close Kaehler manifold, and a Frobenius manifold structure on Dolbeault cohomology.

10 pages, AMS LaTex

Keywords

Mathematics - Differential Geometry, Global differential geometry of Hermitian and Kählerian manifolds, closed Kähler manifold, Compact Kähler manifolds: generalizations, classification, Dolbeault complex, Differential Geometry (math.DG), (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Mathematics - Quantum Algebra, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Dolbeault cohomology, FOS: Mathematics, Quantum Algebra (math.QA), formal Frobenius manifold

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
bronze