Non-affine Landau-Ginzburg models and intersection cohomology
We construct Landau-Ginzburg models for numerically effective complete intersections in toric manifolds as partial compactifications of families of Laurent polynomials. We show a mirror statement saying that the quantum D-module of the ambient part of the cohomology of the submanifold is isomorphic...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2017
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| In: |
Annales scientifiques de l'Ecole Normale Supérieure
Year: 2017, Volume: 4, Issue: 3, Pages: 665-753 |
| ISSN: | 1873-2151 |
| Online Access: | Verlag, Volltext: http://smf4.emath.fr/Publications/AnnalesENS/4_50/html/ens_ann-sc_50_665-753.php
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| Author Notes: | Thomas Reichelt, Christian Sevenheck |
| Summary: | We construct Landau-Ginzburg models for numerically effective complete intersections in toric manifolds as partial compactifications of families of Laurent polynomials. We show a mirror statement saying that the quantum D-module of the ambient part of the cohomology of the submanifold is isomorphic to an intersection cohomology D-module defined from this partial compactification and we deduce Hodge properties of these differential systems. |
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| Item Description: | Gesehen am 20.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1873-2151 |