Quantum super torus and super mirror symmetry

DOI10.1063/1.4982636zbMath1364.81160OpenAlexW2611185685MaRDI QIDQ5738715

Hoil Kim

Publication date: 12 June 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4982636

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Symplectic manifolds (general theory) (53D05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Noncommutative geometry in quantum theory (81R60) Lagrangian submanifolds; Maslov index (53D12) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kronecker foliation, D1-branes and Morita equivalence of noncommutative two-tori
• Categories of holomorphic vector bundles on noncommutative two-tori
• Morita equivalence and duality.
• Noncommutative geometry and matrix theory: Compactification on tori
• Classification of holomorphic vector bundles on noncommutative two-tori
• Mirror symmetry is \(T\)-duality
• A TOPOLOGICAL MIRROR SYMMETRY ON NONCOMMUTATIVE COMPLEX TWO-TORI
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• Special Lagrangian geometry as slightly deformed algebraic geometry (geometric quantization and mirror symmetry)
• Mirror symmetry of abelian varieties and multi-theta functions
• Homological Algebra of Mirror Symmetry
• Mirror duality and noncommutative tori
• Theta functions on noncommutative tori

This page was built for publication: Quantum super torus and super mirror symmetry