Landau-Ginzburg models in real mirror symmetry
Annales de l'Institut Fourier, Volume 61 (2011) no. 7, p. 2865-2883

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.

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.

Received : 2010-12-13
Revised : 2012-03-20
Accepted : 2012-06-26
DOI : https://doi.org/10.5802/aif.2796
Classification:  81T40,  14N35,  14C25
Keywords: Mirror symmetry, Landau-Ginzburg models, matrix factorizations, algebraic cycles, real enumerative geometry
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     author = {Walcher, Johannes},
     title = {Landau-Ginzburg models in real mirror symmetry},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {61},
     number = {7},
     year = {2011},
     pages = {2865-2883},
     doi = {10.5802/aif.2796},
     zbl = {1270.81192},
     mrnumber = {3112510},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_2011__61_7_2865_0}
}
Walcher, Johannes. Landau-Ginzburg models in real mirror symmetry. Annales de l'Institut Fourier, Volume 61 (2011) no. 7, pp. 2865-2883. doi : 10.5802/aif.2796. https://aif.centre-mersenne.org/item/AIF_2011__61_7_2865_0/

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