6 citations · 23 across the 7 of their papers we have counts for
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Immersed Lagrangian Floer cohomology via pearly trajectories
Garrett Alston, Erkao Bao
We define Lagrangian Floer cohomology over -coefficients by counting pearly trajectories for graded, exact Lagrangian immersions that satisfy certain positivity condit…
Exact, graded, immersed Lagrangians and Floer theory
Garrett Alston, Erkao Bao
We develop Lagrangian Floer Theory for exact, graded, immersed Lagrangians with clean self-intersection using Seidel's setup. A positivity assumption on the index of the self inter…
Floer cohomology of immersed Lagrangian spheres in smoothings of surfaces
Garrett Alston
We calculate the self-Floer cohomology with Z/2 coefficients of some immersed Lagrangian spheres in the affine symplectic submanifolds of C^3 that are smoothings of A_N surfaces. T…
Floer cohomology of real Lagrangians in the Fermat quintic threefold
Garrett Alston
Let X be the Fermat quintic threefold. The set of real solutions L forms a Lagrangian submanifold of X. Multiplying the homogeneous coordinates of X by various fifth roots of unity…
Floer cohomology of torus fibers and real lagrangians in Fano toric manifolds
Garrett Alston, Lino Amorim
In this article, we consider the Floer cohomology (with coefficients) between torus fibers and the real Lagrangian in Fano toric manifolds. We first investigate the conditio…
Lagrangian Floer homology of the Clifford torus and real projective space in odd dimensions
Garrett Alston
The Floer homology of (RP^n,T^n) is calculated, for n odd.