From the 1 of 16 linked papers with an AI index.
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Lagrangian Intersections, Symplectic Reduction and Kirwan Surjectivity
Naichung Conan Leung, Ying Xie, Yu Tung Yau
Given a smooth holomorphic symplectic variety with a Hamiltonian -action, -invariant Lagrangians induce Lagrangians in the symplectic quotient . Given clean…
A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology
Pieter Belmans, Sergey Galkin, Naichung Conan Leung +3
It is known that the semisimplicity of quantum cohomology implies the vanishing of off-diagonal Hodge numbers (Hodge--Tateness). We investigate which hyperplane sections of homogen…
Smoothing, scattering, and a conjecture of Fukaya
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma
In 2002, Fukaya proposed a remarkable explanation of mirror symmetry detailing the SYZ conjecture by introducing two correspondences: one between the theory of pseudo-holomorphic c…
DK Conjecture for Some -inequivalences from Grassmannians
Naichung Conan Leung, Ying Xie
The DK conjecture of Bondal-Orlov and Kawamata states that there should be an embedding of bounded derived categories for any -inequivalence, which is proved to be true for the…