Monotone Lagrangians in flag varieties
Files
First author draft
Date
DOI
Authors
Cho, Yunhyung
Kim, Yoosik
Version
OA Version
Citation
Yunhyung Cho, Y Kim. "Monotone Lagrangians in flag varieties."
Abstract
In this paper, we give a formula for the Maslov index of a gradient holomorphic disc, which is a relative
version of the Chern number formula of a gradient holomorphic sphere for a Hamiltonian S1-action. Using the formula, we classify all monotone Lagrangian non-toric fibers of Gefland-Cetlin systems on partial flag manifolds.