Non-simplicial quantum toric varieties

DOI10.1016/j.aim.2024.109553arXiv2006.16715MaRDI QIDQ6119801

Antoine Boivin

Publication date: 25 March 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16715

zbMATH Keywords

stackstoric geometryirrational fansnon-simplicial fans

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Cites Work

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• The orbifold cohomology ring of simplicial toric stack bundles
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• Toric symplectic stacks
• Momentum maps and Morita equivalence
• GEOMETRIC SPACES FROM ARBITRARY CONVEX POLYTOPES
• Introduction to Toric Varieties. (AM-131)
• Non-commutative Toric Varieties
• Foliations Modeling Nonrational Simplicial Toric Varieties
• Convex Polytopes
• Holomorphic principal bundles over projective toric varieties
• Simple non-rational convex polytopes via symplectic geometry

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