Realizing homology boundary links with arbitrary patterns

Bending Analysis of Laminated Composite Plates with Arbitrary Boundary Conditions

It is well known that for laminated composite plates a Levy-type solution exists only for cross-ply and antisymmetric angle-ply laminates. Numerous investigators have used the Levy method to solve the governing equations of various equivalent single-layer plate theories. It is the intension of the present study to introduce a method for analytical solutions of laminated composite plates with ar...

Realizing homology classes by symplectic submanifolds

In this note we prove that a positive multiple of each even-dimensional integral homology class of a compact symplectic manifold (M2n, ω) can be represented as the difference of the fundamental classes of two symplectic submanifolds in (M2n, ω). We also prove the realizability of some integral homology classes by symplectic submanifolds in (M2n, ω).

Homology of torus links

In this paper we show that there is a cut-off in the Khovanov homology of (2k, 2kn)-torus links, namely that the maximal homological degree of non-zero homology group of (2k, 2kn)-torus link is 2kn. Furthermore, we calculate explicitely the homology groups in homological degree 2kn and prove that it coincides with the centre of the ring H of crossingless matchings, introduced by M. Khovanov in ...

Realizing Families of Landweber Exact Homology Theories

I discuss the problem of realizing families of complex orientable homology theories as families of E ∞-ring spectra, including a recent result of Jacob Lurie emphasizing the role of p-divisible groups. A few years ago, I wrote a paper [10] discussing a realization problem for families of Landweber exact spectra. Since Jacob Lurie [27] now has a major positive result in this direction, it seems ...

Analysis of Free Vibration of Triangular Plates with Non-Uniform Linear Thickness and Arbitrary Boundary Conditions