Homological Algebra of Mirror Symmetry
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This is my talk at ICM, Zurich 1994. It contains a short introduction, two basic examples and a refined version of the Mirror Conjecture formulated in terms of homological algebra.
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Forward citations
Cited by 10 Pith papers
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From Baby Universes to Narain Moduli: Topological Boundary Averaging in SymTFTs
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Nil-Equivariant Tropological Sigma Models on Filtered Geometries
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Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures
Proves Lagrangian correspondences in nonabelian Hodge theory for perfect complexes and establishes canonical shifted pretwistor structures on the Deligne-Hitchin-Simpson moduli stack over P^1_C.
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Chern Characteristics and Todd-Hirzebruch Identities for Transpolar Pairs of Toric Spaces
Transpolar pairs involving VEX multitopes yield smooth toric spaces whose Chern classes satisfy Todd-Hirzebruch identities and belong to deformation families of generalized complete intersections.
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Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.
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Generalizations beyond algebraic geometry in string theory remain aligned with mirror symmetry, support quantitative analysis, and point to deeper symplectic geometry connections.
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