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Mirror Manifolds And Topological Field Theory

1991/12/19 by Edward Witten, Witten, Edward · 14 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9112056

35 pp

arxiv created 1991/12/19 · openalex publication_date 1991/12/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These notes are devoted to explaining aspects of the mirror manifold problem that can be naturally understood from the point of view of topological field theory. Basically this involves studying the topological field theories made by twisting N=2 sigma models. This is mainly a review of old results, except for the discussion in \S7 of certain facts that may be relevant to constructing the ``mirror map'' between mirror moduli spaces.

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