Abstract
We describe explicit relations in the symplectomorphism groups of hypersurfaces in toric stacks. To define the elements involved, we construct a proper stack of these hypersurfaces whose boundary represents stable pair degenerations. Our relations arise through the study of the one-dimensional strata of this stack. The results are then examined from the perspective of homological mirror symmetry where we view sequences of relations as maximal degenerations of Landau-Ginzburg models. We then study the B-model mirror to these degenerations, which gives a new mirror symmetry approach to the minimal model program.
Original language | English (US) |
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Pages (from-to) | 2167-2171 |
Number of pages | 5 |
Journal | Journal of the European Mathematical Society |
Volume | 18 |
Issue number | 10 |
DOIs | |
State | Published - 2016 |
Keywords
- Homological mirror symmetry
- Landau-Ginzburg models
- Minimal model program
- Symplectomorphisms
- Toric varieties
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics