Article citationsMore>>

Weinstein, A. (1971) Symplectic Manifolds and Their Lagrangian Submanifolds. Advances in Mathematics, 6, 329-346.
https://doi.org/10.1016/0001-8708(71)90020-x

has been cited by the following article:

• TITLE: Algebraic and Lagrangian Subvarieties on Mirror Pairs

  AUTHORS: Yong Seung Cho

  KEYWORDS: Calabi-Yau Manifold, Holonomy, Superconformal Field Theory, Mirror Pair, Algebraic Variety, Lagrangian Variety, Quintic Threefold

  JOURNAL NAME: Advances in Pure Mathematics, Vol.16 No.10, October 22, 2026

  ABSTRACT: On a mirror pair of Calabi-Yau n -folds, there is a one-to-one correspondence between the elements of the Hodge group and those of the n -dimensional cohomology group of its mirror space. In this paper, we show that there is an isomorphism between the group of the algebraic cycles and the group of the Lagrangian subvarieties of the mirror spaces. This correspondence provides a geometric realization of mirror symmetry at the level of subvarieties.