A question which was left open in [C-W] was the symplectic equivalence of the above (a, b, c)-surfaces. To this purpose, and for more general purposes, it is important to determine the braid monodromy factorization of the branch curve corresponding to a symplectic deformation of the 4-1 covering S → P × P possessed by an (a, b, c)-surface S (note that in [C-W] one key result was the determinati...

The computations that are suggested by String Theory in the B model requires the existence of degenerations of CY manifolds with maximum unipotent monodromy. In String Theory such a point in the moduli space is called a large radius limit (or large complex structure limit). In this paper we are going to construct one parameter families of n dimensional Calabi-Yau manifolds, which are complete i...

The 1:1:2 resonant elastic pendulum is a simple classical system that displays the phenomenon known as Hamiltonian monodromy. With suitable initial conditions, the system oscillates between nearly pure springing and nearly pure elliptical-swinging motions, with sequential major axes displaying a stepwise precession. The physical consequence of monodromy is that this stepwise precession is given...

By using sheaf-theoretical methods such as constructible sheaves, we generalize the formula of Libgober-Sperber [15] concerning the zeta functions of monodromy at infinity of polynomial maps into various directions. In particular, some formulas for the zeta functions of global monodromy along the fibers of bifurcation points of polynomial maps will be obtained.

We determine the maximum order of an element in critical group a strongly regular graph, and show that it achieves spectral bound due to Lorenzini. extend result all graphs with exactly two non-zero Laplacian eigenvalues, study signed graph version problem. also monodromy pairing on groups, suggest approach structure these groups using pairing.