Algebraic cycles and local quantum cohomology

Charles F. Doran; Matt Kerr

doi:10.4310/CNTP.2014.v8.n4.a3

Algebraic cycles and local quantum cohomology

Charles F. Doran
, Matt Kerr

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We review the Hodge theory of some classic examples from mirror symmetry, with an emphasis on what is intrinsic to the A-model. In particular, we illustrate the construction of a quantum Z-local system on the cohomology of K_P² and suggest how this should be related to the higher algebraic cycles studied in [10].

Original language	English
Pages (from-to)	703-727
Number of pages	25
Journal	Communications in Number Theory and Physics
Volume	8
Issue number	4
DOIs	https://doi.org/10.4310/CNTP.2014.v8.n4.a3
State	Published - 2014

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10.4310/CNTP.2014.v8.n4.a3

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AB - We review the Hodge theory of some classic examples from mirror symmetry, with an emphasis on what is intrinsic to the A-model. In particular, we illustrate the construction of a quantum Z-local system on the cohomology of KP2 and suggest how this should be related to the higher algebraic cycles studied in [10].

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JO - Communications in Number Theory and Physics

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Algebraic cycles and local quantum cohomology

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