126 citations · 602 across the 33 of their papers we have counts for
6 papers · 1 filter
The open Gromov-Witten-Welschinger theory of blowups of the projective plane
Asaf Horev, Jake P. Solomon
We compute the Welschinger invariants of blowups of the projective plane at an arbitrary conjugation invariant configuration of points. Specifically, open analogues of the WDVV equ…
A reverse isoperimetric inequality for J-holomorphic curves
Yoel Groman, Jake P. Solomon
We prove that the length of the boundary of a -holomorphic curve with Lagrangian boundary conditions is dominated by a constant times its area. The constant depends on the sympl…
The Calabi homomorphism, Lagrangian paths and special Lagrangians
Jake P. Solomon
Let $\OO$ be an orbit of the group of Hamiltonian symplectomorphisms acting on the space of Lagrangian submanifolds of a symplectic manifold We define a functional $\CC:\O…
A Γ-structure on Lagrangian Grassmannians
Peter Albers, Urs Frauenfelder, Jake P. Solomon
For n odd the Lagrangian Grassmannian of \R^{2n} is a Γ-manifold.
Can Mean-Curvature Flow Be Made Non-Singular?
Michael Kazhdan, Jake Solomon, Mirela Ben-Chen
This work considers the question of whether mean-curvature flow can be modified to avoid the formation of singularities. We analyze the finite-elements discretization and demonstra…
A Riemannian Approach to Reduced Plate, Shell, and Rod Theories
Raz Kupferman, Jake P. Solomon
We derive a dimensionally-reduced limit theory for an -dimensional nonlinear elastic body that is slender along dimensions. The starting point is to view an elastic body as…