Landau-Ginzburg models in real mirror symmetry
[Modèles de Landau-Ginzburg en symétrie miroir réelle]
Walcher, Johannes1
1 McGill University, Montréal, Canada CERN Physics Department, Theory Division Geneva, Switzerland
Annales de l'Institut Fourier, Tome 61 (2011) no. 7, pp. 2865-2883.

Récemment, la symétrie miroir pour les cordes ouvertes a dévoilé de nouveaux liens entre la géométrie symplectique et énumérative (modèle A) et la géométrie algébrique complexe (modèle B) qui en un certain sens se situent entre la symétrie miroir classique et sa version homologique. On résume ici le rôle que jouent dans cette histoire les factorisations matricielles et la correspondance Calabi-Yau/Landau-Ginzburg.

In recent years, mirror symmetry for open strings has exhibited some new connections between symplectic and enumerative geometry (A-model) and complex algebraic geometry (B-model) that in a sense lie between classical and homological mirror symmetry. I review the rôle played in this story by matrix factorizations and the Calabi-Yau/Landau-Ginzburg correspondence.

DOI : 10.5802/aif.2796
Classification : 81T40, 14N35, 14C25
Keywords: Mirror symmetry, Landau-Ginzburg models, matrix factorizations, algebraic cycles, real enumerative geometry
Mot clés : symétrie miroir, modèle de Landau-Ginzburg, factorisation matricielle, cycle algébrique, géometrie énumérative réelle
Walcher, Johannes 1

1 McGill University, Montréal, Canada CERN Physics Department, Theory Division Geneva, Switzerland 
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Walcher, Johannes. Landau-Ginzburg models in real mirror symmetry. Annales de l'Institut Fourier, Tome 61 (2011) no. 7, pp. 2865-2883. doi : 10.5802/aif.2796. http://www.numdam.org/articles/10.5802/aif.2796/

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