Abstract:
We considered a surgery, called Lagrangian attaching disk surgery, that can be applied to a Lagrangian surface L at the presence of a Lagrangian attaching disk D, to obtain a new Lagrangian surface L' which is always smoothly isotopic to L. We showed that this type of surgery includes all even generalized Dehn twists as constructed by Paul Seidel. We also constructed a new symplectic invariant, called y-index, for orientable closed Lagrangian surfaces immersed in a parallelizable symplectic 4-manifold W. With y-index we proved that L and L' are not Hamiltonian isotopic. We also obtained new examples of nullhomologous Lagrangian tori which are smooth isotopic but not Hamiltonian isotopic.

Abstract:
We give a proof of, for the case of contact structures defined by global contact 1-forms, a Theorem stated by Eliashberg that for any overtwisted contact structure on a closed 3-manifold, its contact homology is 0. A different proof is also outlined in the appendix by Yakov Eliashberg.

Abstract:
We define a nonnegative integer $\la(L,L_0;\phi)$ for a pair of diffeomorphic closed Lagrangian surfaces $L_0,L$ embedded in a symplectic 4-manifold $(M,\w)$ and a diffeomorphism $\phi\in\Diff^+(M)$ satisfying $\phi(L_0)=L$. We prove that if there exists $\phi\in\Diff^+_o(M)$ with $\phi(L_0)=L$ and $\la(L,L_0;\phi)=0$, then $L_0,L$ are symplectomorphic. We also define a second invariant $n(L_1,L_0;[L_t])=n(L_1,L_0,[\phi_t])$ for a smooth isotopy $L_t=\phi_t(L_0)$ between two Lagrangian surfaces $L_0$ and $L_1$ with $\la (L_1,L_0;\phi_1)=0$, which serves as an obstruction of deforming $L_t$ to a Lagrangian isotopy with $L_0,L_1$ preserved.

Abstract:
We define new Hamiltonian isotopy invariants for a monotone Lagrangian torus embedded in a symplectic 4-manifold. We show that, in the standard symplectic 4-space, these invariants distinguish a monotone Clifford torus from a Chekanov torus.

Abstract:
We determine the Lagrangian monodromy group L(T) and the smooth monodromy group S(T) of a Clifford torus T in the symplectic 4-space. We show that L(T) is isomorphic to the infinite dihedral group, and S(T) is generated by three reflections. We give explicit formulas for both groups. We also show that if a Lagrangian torus is smoothly isotopic to a Clifford torus then the smooth isotopy can be chosen to be Lagrangian outside of a disc.

Abstract:
We use contact handle decompositions and a stabilization process to compute the cylindrical contact homology of a subcritical Stein-fillable contact manifold with vanishing first Chern class, and show that it is completely determined by the homology of a subcritical Stein-filling of the contact manifold.

Abstract:
We give a simple model in the complex plane of the 0-surgery along a fibered knot of a closed 3-manifold M to yield a mapping torus M'. This model allows explicit relations between pseudoholomorphic curves in the symplectizations of M and M'. As an application we use it to compute the cylindrical contact homology of open books resulting from a positive Dehn twist on a torus with boundary.

Abstract:
The title compound, C19H13F2N, was synthesized by an addition reaction of bis(4-fluorophenyl)methanone with aniline. The dihedral angles formed by the fluorobenzene rings with the aniline ring are 81.04 (5) and 64.15 (5)°. In the crystal packing, intermolecular C—H...F hydrogen bonds link molecules into zigzag chains parallel to the c axis.

Abstract:
Motor sequence learning, which mostly involves effector, is one of the most important components of Motor skill learning. There were two hypotheses about the role that the effector played in the motor sequence learning. One was the effector-dependent, i.e., motor sequence learning was related to the specific effector and could not transfer from one effector to the other. Learners established connections among muscles or reactions during the learning. The other was the effector-independent, i.e., such sequence learning did not dependent on the specific effector and could transfer from one effector to the others. Learners established connections among the abstract stimuli representations in the process. The effector's roles played in the motor sequence learning were varied with the different stages of practice, the consciousness status and some other conditions.