integrals are actually computable! See also Cotangent complex Homotopy associative algebra Kuranishi structure Mirror symmetry (string theory) Moduli of algebraic curves Kontsevich moduli space External links https://ocw.mit.edu/courses/mathematics/18-969-topics-in-geometry-mirror-symmetry-spring-2009/lecture-notes/ References Books/Notes Mirror Symmetry - Clay Mathematics Institute ebook Mirror Symmetry and Algebraic Geometry - Cox, Katz On the work of Givental relative to mirror symmetry First proofs Equivariant Gromov - Witten Invariants - Givental's original proof for projective complete intersections The mirror formula for quintic threefolds Rational curves on hypersurfaces (after A. Givental) - an explanation of Givental's proof Mirror Principle I - Lian, Liu, Yau's proof closing gaps in Givental's proof. His proof required the undeveloped theory of Floer homology Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties - first general construction of mirror varieties for Calabi-Yau's in toric varieties Mirror symmetry for abelian varieties Derived geometry in Mirror symmetry Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4 Research Mirror symmetry: from categories to curve counts - relation between homological mirror symmetry and classical mirror symmetry Intrinsic mirror symmetry and punctured Gromov-Witten invariants Homological mirror symmetry Categorical Mirror Symmetry: The Elliptic Curve An Introduction to Homological Mirror Symmetry and the Case of Elliptic Curves Homological mirror symmetry for the genus two curve Homological mirror symmetry for the quintic 3-fold Homological Mirror Symmetry for Calabi-Yau hypersurfaces in projective space Speculations on homological mirror symmetry for hypersurfaces in Mathematical physics Conjectures String theory Algebraic geometry