Algebraic cycles and local quantum cohomology
Algebraic Geometry
2013-07-24 v1 High Energy Physics - Theory
Abstract
We review the Hodge theory of some classic examples from mirror symmetry, with an emphasis on what is intrinsic to the A-model, and on interesting open questions and problems. In particular, we illustrate the construction of a quantum Z-local system on the cohomology of the total space of the canonical bundle of P^2, and suggest how this should be related to the higher algebraic cycles studied in our 2011 CNTP article "Algebraic K-theory of toric hypersurfaces".
Keywords
Cite
@article{arxiv.1307.5902,
title = {Algebraic cycles and local quantum cohomology},
author = {Charles F. Doran and Matt Kerr},
journal= {arXiv preprint arXiv:1307.5902},
year = {2013}
}
Comments
21 pages, 4 figures