7 citations · 13 across the 7 of their papers we have counts for
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Kodaira-Spencer map, Lagrangian Floer theory and orbifold Jacobian algebras
Cheol-Hyun Cho, Sangwook Lee
A version of mirror symmetry predicts a ring isomorphism between quantum cohomology of a symplectic manifold and Jacobian algebra of the Landau-Ginzburg mirror, and for toric manif…
Ring isomorphisms of closed string via homological mirror symmetry
Sangwook Lee
We investigate how ring isomorphisms between mirror closed states of compact toric Fano manifolds come from homological mirror symmetry. A natural closed-open relation on B-side is…
Noncommutative homological mirror symmetry of elliptic curves
Sangwook Lee
We prove an equivalence of two A-infinity functors, via Orlov's Landau-Ginzburg/Calabi-Yau correspondence. One is the Polishchuk-Zaslow's mirror symmetry functor of elliptic curves…
Comparison of mirror functors of elliptic curves via LG/CY correspondence
Sangwook Lee
Polishchuk-Zaslow explained the homological mirror symmetry between Fukaya category of symplectic torus and the derived category of coherent sheaves of elliptic curves via Lagrangi…
Pairings in mirror symmetry between a symplectic manifold and a Landau-Ginzburg -model
Cheol-hyun Cho, Sangwook Lee, Hyung-Seok Shin
We find a relation between Lagrangian Floer pairing of a symplectic manifold and Kapustin-Li pairing of the mirror Landau-Ginzburg model under localized mirror functor. They are co…
Notes on Kontsevich-Soibelman's theorem about cyclic A-infinity algebras
Cheol-Hyun Cho, Sangwook Lee
Kontsevich and Soibelman has proved a relation between a non-degenerate cyclic homology element of an A-infinity algebra A and its cyclic inner products on the minimal model of A.…