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Topology Geometry

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Topology Geometry

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Research Frontiers in Floer Homology and Mirror Symmetry

Explores Lagrangian Floer homology and its role in mirror symmetry conjectures relating symplectic and algebraic geometry.

Symplectic Capacity and Categorical Obstructions
Wrapped Fukaya Categories in Non-Exact Geometries
Homological Mirror Symmetry Beyond Calabi-Yau
Spectral Networks and Resurgent Structures
Knot Floer Homology and Categorified Invariants
Quantum Corrections in Mirror Symmetry Dualities
Lagrangian Surgery and Deformation Quantization
Cluster Algebras and Symplectic Resolutions
Instanton Floer Homology and Topology Transfer
Categorical Enumerative Invariants in Mirror Pairs

All Topology & Geometry PhD categories