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Homological Mirror Symmetry and Algebraic Cycles

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Riemannian Topology and Geometric Structures on Manifolds

Part of the book series: Progress in Mathematics ((PM,volume 271))

Abstract

In this paper we describe a Homological Mirror Symmetry approach to classical problems in Algebric Geometry — rationality questions and the Hodge conjecture. Several examples are studied in detail.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Miami, Coral Gables, Florida, USA

    Ludmil Katzarkov

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  1. Ludmil Katzarkov
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of New Mexico, Albuquerque, NM, 87131

    Krzysztof Galicki  & Santiago R. Simanca  & 

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Katzarkov, L. (2009). Homological Mirror Symmetry and Algebraic Cycles. In: Galicki, K., Simanca, S.R. (eds) Riemannian Topology and Geometric Structures on Manifolds. Progress in Mathematics, vol 271. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4743-8_4

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