Structures and homologies of free-martin gonads

Heegaard Floer Homologies and Contact Structures

Given a contact structure on a closed, oriented three-manifold Y , we describe an invariant which takes values in the three-manifold’s Floer homology ĤF (in the sense of [10]). This invariant vanishes for overtwisted contact structures and is non-zero for Stein fillable ones. The construction uses of Giroux’s interpretation of contact structures in terms of open book decompositions (see [4]), a...

Homologies of Algebraic Structures via Braidings and Quantum Shuffles

In this paper we construct “structural” pre-braidings characterizing different algebraic structures: a rack, an associative algebra, a Leibniz algebra and their representations. Some of these pre-braidings seem original. On the other hand, we propose a general homology theory for pre-braided vector spaces and braided modules, based on the quantum co-shuffle comultiplication. Applied to the stru...

Free vibration analysis of steel framed structures

This study based on free vibration analysis and study the behavior of framed structure under different frequency of vibration using ANSYS software and shaking table. A small scale uni-axial shaking table was prepared in laboratory, which can produce lower to moderate vibration, regarding frequency and velocity. Moment resisting framed structures constructed with connecting beam and column eleme...

Partial - Order Alignment of RNA Structures by Ethan Bromberg - Martin

A Simple Finite Element Procedure for Free Vibration and Buckling Analysis of Cracked Beam-Like Structures

In this study, a novel and very simple finite element procedure is presented for free vibration and buckling analysis of slim beam-like structures damaged by edge cracks. A cracked region of a beam is modeled using a very short element with reduced second moment of area (I). For computing reduced I in a cracked region, the elementary theory of bending of beams and local flexibility approach are...