4 problems

Let $\Phi(x,s,\lambda)$ be the fundamental solution matrix of the first-order system associated with the eigenvalue problem, and for $\lambda\notin\sigma_{\rm ess}(\mathcal{L})$ le…

Let $C$ be an immersed Lagrangian cylinder between smoothly concordant Legendrian knots $K_1$ and $K_2$, constructed as in the immersion construction discussed in the paper. Let…

The cyclic sums $\mu_c^{\pm}(Y_1,Y_2,\dots,Y_m)$ and their modified versions are symplectic-invariant quantities associated with sequences of Lagrangian subspaces, and the paper es…

Let $i_0$ and $i_\infty$ be the indices associated with the behavior at the origin and at infinity of an asymptotically linear Hamiltonian system, respectively. A $T$-periodic solu…